oj.uz

Submission #620141

# Submission time Handle Problem Language Result Execution time Memory
620141 2022-08-03T01:35:31 Z Olympia Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 208 ms 22332 KB 
#include <bits/stdc++.h>
#include "supertrees.h"
 
using namespace std;
 
class DisjointSetUnion {
protected:
    vector<int> parent;
    vector<int> compSize;
    const int n;
    int connectedComponents;
public:
    int getConnectedComponents() const {
        return connectedComponents;
    }
 
public:
    DisjointSetUnion(int sz) : n(sz), connectedComponents(sz) {
        parent.resize(sz), compSize.resize(sz);
        for (int i = 0; i < n; i++) {
            parent[i] = i, compSize[i] = 1;
        }
    }
 
    int find_head(int x) const {
        int cur = x;
        while (cur != parent[cur]) {
            cur = parent[cur];
        }
        return cur;
    }
 
    void join(int x, int y) {
        x = find_head(x);
        y = find_head(y);
        if (x == y) {
            return;
        }
        if (compSize[x] > compSize[y]) {
            swap(x, y);
            //ensures that compSize[x1] <= compSize[y1]
        }
        parent[x] = y;
        compSize[y] += compSize[x];
        connectedComponents--;
    }
 
    bool comp(int x, int y) {
        return (find_head(x) == find_head(y));
    }
};

int construct (vector<vector<int>> grid) {
    vector<vector<int>> ans(grid.size());
    for (int i = 0; i < grid.size(); i++) {
        ans[i].assign(grid[0].size(), 0);
    }
    set<int> s;
    map<int,int> cnt;
    DisjointSetUnion disjointSetUnion(grid.size());
    for (int i = 0; i < grid.size(); i++) {
        for (int j = 0; j < grid.size(); j++) {
            if (grid[i][j] == 3) {
                return false;
            }
            s.insert(grid[i][j]);
            cnt[grid[i][j]]++;
            if (grid[i][j] != 0) {
                disjointSetUnion.join(i, j);
            }
        }
    }
    map<int,vector<int>> myMap;
    for (int i = 0; i < grid.size(); i++) {
        myMap[disjointSetUnion.find_head(i)].push_back(i);
    }
    if (cnt[0] >= 0 && cnt[1] >= 0 && cnt[2] >= 0 && cnt[3] == 0) {
        for (auto& p: myMap) {
            DisjointSetUnion dsu(grid.size());
            map<int,vector<int>> m;
            for (int x: p.second) {
                for (int y: p.second) {
                    if (grid[x][y] == 1) {
                        dsu.join(x, y);
                    }
                }
            }
            for (int i: p.second) {
                m[dsu.find_head(i)].push_back(i);
            }
            vector<int> vec;
            for (auto& q: m) {
                vec.push_back(q.first);
            }
            if (vec.size() != 1) {
                if (vec.size() == 2) {
                    return false;
                }
                for (int i = 0; i < vec.size(); i++) {
                    ans[vec[i]][vec[(i + 1) % (int) vec.size()]] = ans[vec[(i + 1) % (int) vec.size()]][vec[i]] = 1;
                }
            }
            for (int x: vec) {
                for (int y: vec) {
                    if (grid[x][y] == 0) {
                        return false;
                    }
                }
            }
            for (auto& q: m) {
                vector<int> v = q.second;
                for (int i: v) {
                    for (int j: v) {
                        if (grid[i][j] == 0) {
                            return false;
                        }
                    }
                }
                for (int i = 1; i < (int)v.size(); i++) {
                    ans[v[i]][v[0]] = 1;
                    ans[v[0]][v[i]] = 1;
                }
                for (int x: v) {
                    for (int y: v) {
                        if (grid[x][y] != 1) {
                            return 0;
                        }
                    }
                }
            }
 
        }
        build(ans);
        return 1;
    }
}

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:55:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   55 |     for (int i = 0; i < grid.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
supertrees.cpp:61:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |     for (int i = 0; i < grid.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
supertrees.cpp:62:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |         for (int j = 0; j < grid.size(); j++) {
      |                         ~~^~~~~~~~~~~~~
supertrees.cpp:74:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |     for (int i = 0; i < grid.size(); i++) {
      |                     ~~^~~~~~~~~~~~~
supertrees.cpp:99:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |                 for (int i = 0; i < vec.size(); i++) {
      |                                 ~~^~~~~~~~~~~~
supertrees.cpp:54:40: warning: control reaches end of non-void function [-Wreturn-type]
   54 |     vector<vector<int>> ans(grid.size());
      |                                        ^

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 296 KB Output is correct
4 Correct 1 ms 224 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1236 KB Output is correct
7 Correct 185 ms 22096 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 296 KB Output is correct
4 Correct 1 ms 224 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1236 KB Output is correct
7 Correct 185 ms 22096 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 8 ms 1236 KB Output is correct
13 Correct 180 ms 22288 KB Output is correct
14 Correct 0 ms 300 KB Output is correct
15 Correct 0 ms 300 KB Output is correct
16 Correct 5 ms 852 KB Output is correct
17 Correct 106 ms 12236 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 42 ms 5788 KB Output is correct
21 Correct 189 ms 22148 KB Output is correct
22 Correct 167 ms 22204 KB Output is correct
23 Correct 200 ms 22076 KB Output is correct
24 Correct 208 ms 22276 KB Output is correct
25 Correct 78 ms 12212 KB Output is correct
26 Correct 78 ms 12288 KB Output is correct
27 Correct 190 ms 22144 KB Output is correct
28 Correct 172 ms 22332 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 1 ms 212 KB Output is correct
3 Correct 1 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 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 8 ms 1236 KB Output is correct
9 Correct 171 ms 22192 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 7 ms 1208 KB Output is correct
13 Correct 176 ms 22224 KB Output is correct
14 Correct 1 ms 304 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 6 ms 852 KB Output is correct
17 Correct 90 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 1 ms 300 KB Output is correct
21 Correct 43 ms 5896 KB Output is correct
22 Correct 180 ms 22148 KB Output is correct
23 Correct 168 ms 22160 KB Output is correct
24 Correct 181 ms 22076 KB Output is correct
25 Correct 95 ms 12300 KB Output is correct
26 Correct 77 ms 12236 KB Output is correct
27 Correct 171 ms 22108 KB Output is correct
28 Correct 183 ms 22220 KB Output is correct
29 Correct 75 ms 12304 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 44 ms 5844 KB Output is correct
5 Correct 176 ms 22100 KB Output is correct
6 Correct 201 ms 22212 KB Output is correct
7 Correct 182 ms 22216 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 44 ms 5836 KB Output is correct
10 Correct 177 ms 22108 KB Output is correct
11 Correct 175 ms 22168 KB Output is correct
12 Correct 183 ms 22128 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 42 ms 5880 KB Output is correct
17 Correct 170 ms 22148 KB Output is correct
18 Correct 172 ms 22148 KB Output is correct
19 Correct 182 ms 22156 KB Output is correct
20 Correct 169 ms 22288 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 296 KB Output is correct
4 Correct 1 ms 224 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1236 KB Output is correct
7 Correct 185 ms 22096 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 8 ms 1236 KB Output is correct
13 Correct 180 ms 22288 KB Output is correct
14 Correct 0 ms 300 KB Output is correct
15 Correct 0 ms 300 KB Output is correct
16 Correct 5 ms 852 KB Output is correct
17 Correct 106 ms 12236 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 42 ms 5788 KB Output is correct
21 Correct 189 ms 22148 KB Output is correct
22 Correct 167 ms 22204 KB Output is correct
23 Correct 200 ms 22076 KB Output is correct
24 Correct 208 ms 22276 KB Output is correct
25 Correct 78 ms 12212 KB Output is correct
26 Correct 78 ms 12288 KB Output is correct
27 Correct 190 ms 22144 KB Output is correct
28 Correct 172 ms 22332 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 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 300 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 8 ms 1236 KB Output is correct
37 Correct 171 ms 22192 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 7 ms 1208 KB Output is correct
41 Correct 176 ms 22224 KB Output is correct
42 Correct 1 ms 304 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 6 ms 852 KB Output is correct
45 Correct 90 ms 12288 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 300 KB Output is correct
49 Correct 43 ms 5896 KB Output is correct
50 Correct 180 ms 22148 KB Output is correct
51 Correct 168 ms 22160 KB Output is correct
52 Correct 181 ms 22076 KB Output is correct
53 Correct 95 ms 12300 KB Output is correct
54 Correct 77 ms 12236 KB Output is correct
55 Correct 171 ms 22108 KB Output is correct
56 Correct 183 ms 22220 KB Output is correct
57 Correct 75 ms 12304 KB Output is correct
58 Correct 1 ms 296 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 5 ms 820 KB Output is correct
61 Correct 101 ms 12392 KB Output is correct
62 Correct 0 ms 296 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 46 ms 5904 KB Output is correct
66 Correct 75 ms 12296 KB Output is correct
67 Correct 75 ms 12296 KB Output is correct
68 Correct 74 ms 12292 KB Output is correct
69 Correct 80 ms 12308 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 296 KB Output is correct
4 Correct 1 ms 224 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 9 ms 1236 KB Output is correct
7 Correct 185 ms 22096 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 8 ms 1236 KB Output is correct
13 Correct 180 ms 22288 KB Output is correct
14 Correct 0 ms 300 KB Output is correct
15 Correct 0 ms 300 KB Output is correct
16 Correct 5 ms 852 KB Output is correct
17 Correct 106 ms 12236 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 42 ms 5788 KB Output is correct
21 Correct 189 ms 22148 KB Output is correct
22 Correct 167 ms 22204 KB Output is correct
23 Correct 200 ms 22076 KB Output is correct
24 Correct 208 ms 22276 KB Output is correct
25 Correct 78 ms 12212 KB Output is correct
26 Correct 78 ms 12288 KB Output is correct
27 Correct 190 ms 22144 KB Output is correct
28 Correct 172 ms 22332 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 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 300 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 8 ms 1236 KB Output is correct
37 Correct 171 ms 22192 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 7 ms 1208 KB Output is correct
41 Correct 176 ms 22224 KB Output is correct
42 Correct 1 ms 304 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 6 ms 852 KB Output is correct
45 Correct 90 ms 12288 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 300 KB Output is correct
49 Correct 43 ms 5896 KB Output is correct
50 Correct 180 ms 22148 KB Output is correct
51 Correct 168 ms 22160 KB Output is correct
52 Correct 181 ms 22076 KB Output is correct
53 Correct 95 ms 12300 KB Output is correct
54 Correct 77 ms 12236 KB Output is correct
55 Correct 171 ms 22108 KB Output is correct
56 Correct 183 ms 22220 KB Output is correct
57 Correct 75 ms 12304 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 44 ms 5844 KB Output is correct
62 Correct 176 ms 22100 KB Output is correct
63 Correct 201 ms 22212 KB Output is correct
64 Correct 182 ms 22216 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 44 ms 5836 KB Output is correct
67 Correct 177 ms 22108 KB Output is correct
68 Correct 175 ms 22168 KB Output is correct
69 Correct 183 ms 22128 KB Output is correct
70 Correct 1 ms 212 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 42 ms 5880 KB Output is correct
74 Correct 170 ms 22148 KB Output is correct
75 Correct 172 ms 22148 KB Output is correct
76 Correct 182 ms 22156 KB Output is correct
77 Correct 169 ms 22288 KB Output is correct
78 Correct 1 ms 296 KB Output is correct
79 Correct 0 ms 212 KB Output is correct
80 Correct 5 ms 820 KB Output is correct
81 Correct 101 ms 12392 KB Output is correct
82 Correct 0 ms 296 KB Output is correct
83 Correct 1 ms 212 KB Output is correct
84 Correct 1 ms 212 KB Output is correct
85 Correct 46 ms 5904 KB Output is correct
86 Correct 75 ms 12296 KB Output is correct
87 Correct 75 ms 12296 KB Output is correct
88 Correct 74 ms 12292 KB Output is correct
89 Correct 80 ms 12308 KB Output is correct
90 Correct 1 ms 212 KB Output is correct
91 Correct 0 ms 212 KB Output is correct
92 Correct 4 ms 852 KB Output is correct
93 Correct 71 ms 12168 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 0 ms 212 KB Output is correct
96 Correct 1 ms 212 KB Output is correct
97 Correct 17 ms 3412 KB Output is correct
98 Correct 70 ms 12180 KB Output is correct
99 Correct 90 ms 12168 KB Output is correct
100 Correct 90 ms 12164 KB Output is correct
101 Correct 71 ms 12168 KB Output is correct
102 Correct 68 ms 12236 KB Output is correct
103 Correct 73 ms 12180 KB Output is correct
104 Correct 68 ms 12176 KB Output is correct
105 Correct 76 ms 12160 KB Output is correct