oj.uz

Submission #735059

# Submission time Handle Problem Language Result Execution time Memory
735059 2023-05-03T12:48:03 Z aykhn Connecting Supertrees (IOI20_supertrees) C++14
100 / 100
 261 ms 22300 KB 
#include <bits/stdc++.h>
#include "supertrees.h"

/*
    author: aykhn
    4/28/2023
*/

using namespace std;

typedef long long ll;

#define OPT ios_base::sync_with_stdio(0); \
            cin.tie(0); \
            cout.tie(0)
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pss pair<long,long>
#define all(v) v.begin(), v.end()
#define mpr make_pair
#define pb push_back
#define ts to_string
#define fi first
#define se second
#define inf 0x3F3F3F3F
#define infll 0x3F3F3F3F3F3F3F3FLL
#define bpc __builtin_popcount
#define print(v) for(int i = 0; i < v.size(); i++) cout << v[i] << " "; cout<<endl;

struct DSU
{
    vector<int> par;
    vector<vector<int>> e;

    void init(int n)
    {
        e.resize(n);
        par.resize(n);
        for (int i = 0; i < n; i++)
        {
            e[i].pb(i);
            par[i] = i;
        }
    }

    int get(int x)
    {
        if (par[x] == x) return x;
        return par[x] = get(par[x]);
    }

    bool tog(int x, int y)
    {
        return get(x) == get(y);
    }

    void unite(int x, int y)
    {
        x = get(x);
        y = get(y);

        if (x == y) return;

        if (e[x].size() < e[y].size()) swap(x, y);

        for (int a : e[y])
        {
            e[x].pb(a);
            par[a] = x;
        }

        par[y] = x;

        e[y].clear();
    }
};

int construct(vector<vector<int>> p)
{
    int n = p.size();

    vector<vector<int>> b(n, vector<int> (n, 0));
    vector<int> used(n, 0);

    DSU dsu, dsu1, dsu2;
    dsu.init(n);
    dsu1.init(n);
    dsu2.init(n);

    bool flag = false;

    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < n; j++)
        {
            if (p[i][j] == 1) dsu.unite(i, j);
            if (p[i][j] == 3) return 0;
        }
    }

    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < n; j++)
        {
            if (p[i][j] != 1 && dsu.tog(i, j)) return 0;
        }
    }

    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < n; j++)
        {
            if (p[i][j] == 2) dsu1.unite(dsu.get(i), dsu.get(j));
            else if (p[i][j] == 3) dsu2.unite(dsu.get(i), dsu.get(j));
        }
    }

    for (int i = 0; i < n; i++)
    {
        for (int j = 0; j < n; j++)
        {
            if (i == j) continue;
            if (dsu1.tog(i, j) && dsu2.tog(i, j) == 1) return 0;
            if (!p[i][j] && (dsu1.tog(i, j) || dsu2.tog(i, j))) return 0;
        }
    }
/*
4
1 1 1 2
1 1 2 2
1 2 1 2
2 2 2 1
*/
    for (int i = 0; i < n; i++)
    {
        int x = dsu.get(i);
        if (!used[x])
        {
            if (dsu1.e[x].size() == 2) return 0;
            if (dsu2.e[x].size() == 2 || dsu2.e[x].size() == 3) return 0;

            for (int j = 0; j + 1 < dsu.e[x].size(); j++)
            {
                b[dsu.e[x][j]][dsu.e[x][j + 1]] = 1;
                b[dsu.e[x][j + 1]][dsu.e[x][j]] = 1;
            }

            for (int j = 0; j + 1 < dsu1.e[x].size(); j++)
            {
                b[dsu1.e[x][j]][dsu1.e[x][j + 1]] = 1;
                b[dsu1.e[x][j + 1]][dsu1.e[x][j]] = 1;
            }

            for (int j = 0; j + 1 < dsu2.e[x].size(); j++)
            {
                b[dsu2.e[x][j]][dsu2.e[x][j + 1]] = 1;
                b[dsu2.e[x][j + 1]][dsu2.e[x][j]] = 1;
            }

            if (dsu1.e[x].size() >= 3)
            {
                b[dsu1.e[x][dsu1.e[x].size() - 1]][dsu1.e[x][0]] = 1;
                b[dsu1.e[x][0]][dsu1.e[x][dsu1.e[x].size() - 1]] = 1;
            }
            if (dsu2.e[x].size() >= 4)
            {
                b[dsu2.e[x][dsu2.e[x].size() - 1]][dsu2.e[x][0]] = 1;
                b[dsu2.e[x][0]][dsu2.e[x][dsu2.e[x].size() - 1]] = 1;
                
                b[dsu2.e[x][dsu2.e[x].size() - 1]][dsu2.e[x][1]] = 1;
                b[dsu2.e[x][1]][dsu2.e[x][dsu2.e[x].size() - 1]] = 1;
            }

        }
    }
    for (int i = 0; i < n; i++) b[i][i] = 0;
    build(b);

    return 1;
}

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:142:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  142 |             for (int j = 0; j + 1 < dsu.e[x].size(); j++)
      |                             ~~~~~~^~~~~~~~~~~~~~~~~
supertrees.cpp:148:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  148 |             for (int j = 0; j + 1 < dsu1.e[x].size(); j++)
      |                             ~~~~~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:154:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  154 |             for (int j = 0; j + 1 < dsu2.e[x].size(); j++)
      |                             ~~~~~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:90:10: warning: unused variable 'flag' [-Wunused-variable]
   90 |     bool flag = false;
      |          ^~~~

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 1 ms 212 KB Output is correct
4 Correct 0 ms 284 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1108 KB Output is correct
7 Correct 203 ms 22240 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 1 ms 212 KB Output is correct
4 Correct 0 ms 284 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1108 KB Output is correct
7 Correct 203 ms 22240 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 8 ms 1176 KB Output is correct
13 Correct 206 ms 22220 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 101 ms 12288 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 50 ms 5836 KB Output is correct
21 Correct 200 ms 22144 KB Output is correct
22 Correct 196 ms 22212 KB Output is correct
23 Correct 225 ms 22276 KB Output is correct
24 Correct 191 ms 22148 KB Output is correct
25 Correct 73 ms 12288 KB Output is correct
26 Correct 70 ms 12292 KB Output is correct
27 Correct 205 ms 22148 KB Output is correct
28 Correct 187 ms 22256 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 8 ms 1224 KB Output is correct
9 Correct 191 ms 22160 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 9 ms 1196 KB Output is correct
13 Correct 217 ms 22156 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 272 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 101 ms 12292 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 55 ms 5808 KB Output is correct
22 Correct 192 ms 22280 KB Output is correct
23 Correct 211 ms 22144 KB Output is correct
24 Correct 261 ms 22220 KB Output is correct
25 Correct 81 ms 12236 KB Output is correct
26 Correct 87 ms 12292 KB Output is correct
27 Correct 187 ms 22300 KB Output is correct
28 Correct 205 ms 22156 KB Output is correct
29 Correct 78 ms 12292 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 1 ms 212 KB Output is correct
4 Correct 63 ms 5756 KB Output is correct
5 Correct 203 ms 22124 KB Output is correct
6 Correct 199 ms 22116 KB Output is correct
7 Correct 224 ms 22160 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 54 ms 5764 KB Output is correct
10 Correct 207 ms 22148 KB Output is correct
11 Correct 192 ms 22220 KB Output is correct
12 Correct 212 ms 22276 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 48 ms 5836 KB Output is correct
17 Correct 198 ms 22220 KB Output is correct
18 Correct 199 ms 22196 KB Output is correct
19 Correct 207 ms 22212 KB Output is correct
20 Correct 193 ms 22184 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 1 ms 212 KB Output is correct
4 Correct 0 ms 284 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1108 KB Output is correct
7 Correct 203 ms 22240 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 8 ms 1176 KB Output is correct
13 Correct 206 ms 22220 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 101 ms 12288 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 50 ms 5836 KB Output is correct
21 Correct 200 ms 22144 KB Output is correct
22 Correct 196 ms 22212 KB Output is correct
23 Correct 225 ms 22276 KB Output is correct
24 Correct 191 ms 22148 KB Output is correct
25 Correct 73 ms 12288 KB Output is correct
26 Correct 70 ms 12292 KB Output is correct
27 Correct 205 ms 22148 KB Output is correct
28 Correct 187 ms 22256 KB Output is correct
29 Correct 1 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 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 8 ms 1224 KB Output is correct
37 Correct 191 ms 22160 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 9 ms 1196 KB Output is correct
41 Correct 217 ms 22156 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 272 KB Output is correct
44 Correct 4 ms 724 KB Output is correct
45 Correct 101 ms 12292 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 55 ms 5808 KB Output is correct
50 Correct 192 ms 22280 KB Output is correct
51 Correct 211 ms 22144 KB Output is correct
52 Correct 261 ms 22220 KB Output is correct
53 Correct 81 ms 12236 KB Output is correct
54 Correct 87 ms 12292 KB Output is correct
55 Correct 187 ms 22300 KB Output is correct
56 Correct 205 ms 22156 KB Output is correct
57 Correct 78 ms 12292 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 4 ms 724 KB Output is correct
61 Correct 84 ms 12316 KB Output is correct
62 Correct 0 ms 212 KB Output is correct
63 Correct 0 ms 212 KB Output is correct
64 Correct 0 ms 212 KB Output is correct
65 Correct 60 ms 5744 KB Output is correct
66 Correct 81 ms 12232 KB Output is correct
67 Correct 77 ms 12304 KB Output is correct
68 Correct 81 ms 12292 KB Output is correct
69 Correct 79 ms 12304 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 1 ms 212 KB Output is correct
4 Correct 0 ms 284 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1108 KB Output is correct
7 Correct 203 ms 22240 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 8 ms 1176 KB Output is correct
13 Correct 206 ms 22220 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 101 ms 12288 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 50 ms 5836 KB Output is correct
21 Correct 200 ms 22144 KB Output is correct
22 Correct 196 ms 22212 KB Output is correct
23 Correct 225 ms 22276 KB Output is correct
24 Correct 191 ms 22148 KB Output is correct
25 Correct 73 ms 12288 KB Output is correct
26 Correct 70 ms 12292 KB Output is correct
27 Correct 205 ms 22148 KB Output is correct
28 Correct 187 ms 22256 KB Output is correct
29 Correct 1 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 1 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 8 ms 1224 KB Output is correct
37 Correct 191 ms 22160 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 9 ms 1196 KB Output is correct
41 Correct 217 ms 22156 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 272 KB Output is correct
44 Correct 4 ms 724 KB Output is correct
45 Correct 101 ms 12292 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 55 ms 5808 KB Output is correct
50 Correct 192 ms 22280 KB Output is correct
51 Correct 211 ms 22144 KB Output is correct
52 Correct 261 ms 22220 KB Output is correct
53 Correct 81 ms 12236 KB Output is correct
54 Correct 87 ms 12292 KB Output is correct
55 Correct 187 ms 22300 KB Output is correct
56 Correct 205 ms 22156 KB Output is correct
57 Correct 78 ms 12292 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 1 ms 212 KB Output is correct
61 Correct 63 ms 5756 KB Output is correct
62 Correct 203 ms 22124 KB Output is correct
63 Correct 199 ms 22116 KB Output is correct
64 Correct 224 ms 22160 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 54 ms 5764 KB Output is correct
67 Correct 207 ms 22148 KB Output is correct
68 Correct 192 ms 22220 KB Output is correct
69 Correct 212 ms 22276 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 48 ms 5836 KB Output is correct
74 Correct 198 ms 22220 KB Output is correct
75 Correct 199 ms 22196 KB Output is correct
76 Correct 207 ms 22212 KB Output is correct
77 Correct 193 ms 22184 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 0 ms 212 KB Output is correct
80 Correct 4 ms 724 KB Output is correct
81 Correct 84 ms 12316 KB Output is correct
82 Correct 0 ms 212 KB Output is correct
83 Correct 0 ms 212 KB Output is correct
84 Correct 0 ms 212 KB Output is correct
85 Correct 60 ms 5744 KB Output is correct
86 Correct 81 ms 12232 KB Output is correct
87 Correct 77 ms 12304 KB Output is correct
88 Correct 81 ms 12292 KB Output is correct
89 Correct 79 ms 12304 KB Output is correct
90 Correct 1 ms 212 KB Output is correct
91 Correct 0 ms 212 KB Output is correct
92 Correct 3 ms 724 KB Output is correct
93 Correct 82 ms 12256 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 0 ms 212 KB Output is correct
96 Correct 0 ms 212 KB Output is correct
97 Correct 17 ms 3284 KB Output is correct
98 Correct 70 ms 12236 KB Output is correct
99 Correct 75 ms 12292 KB Output is correct
100 Correct 80 ms 12292 KB Output is correct
101 Correct 73 ms 12304 KB Output is correct
102 Correct 71 ms 12292 KB Output is correct
103 Correct 75 ms 12288 KB Output is correct
104 Correct 80 ms 12304 KB Output is correct
105 Correct 77 ms 12288 KB Output is correct