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Submission #301422

# Submission time Handle Problem Language Result Execution time Memory
301422 2020-09-17T23:17:24 Z cuom1999 Connecting Supertrees (IOI20_supertrees) C++14
56 / 100
 261 ms 30200 KB 
#include <bits/stdc++.h>
#include "supertrees.h"
using namespace std;

struct Solver {
    int n;
    vector<bool> vs;
    vector<int> lineIndex, cycleIndex;
    vector<vector<int>> p, line, cycle;

    Solver(vector<vector<int>> p): p(p), n(p.size()) {
        vs.resize(n);
        lineIndex.resize(n);
        line.resize(n);
        cycle.resize(n);
        cycleIndex.resize(n);
    }

    void dfs1(int a, int c) {
        if (vs[a]) return;
        vs[a] = 1;
        lineIndex[a] = c;
        line[c].push_back(a);

        for (int i = 0; i < n; i++) {
            if (p[a][i] == 1) dfs1(i, c);
        }
    }

    void dfs2(int a, int c) {
        if (vs[a]) return;
        vs[a] = 1;
        cycle[c].push_back(a);
        cycleIndex[a] = c;
        for (int i = 0; i < n; i++) {
            if (p[a][i] == 2) dfs2(i, c);
        }
    }

    int solve() {
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                if (p[i][j] == 3) return 0;
            }
        }

        for (int i = 0; i < n; i++) {
            if (!vs[i]) dfs1(i, i);
        }

        for (int i = 0; i < n; i++) {
            if (lineIndex[i] == i) vs[i] = 0;
        }

        for (int i = 0; i < n; i++) {
            if (!vs[i]) dfs2(i, i);
        }

        // construct res
        vector<vector<int>> res(n, vector<int>(n));

        for (int i = 0; i < n; i++) {
            for (int j = 0; j + 1 < line[i].size(); j++) {
                int x = line[i][j], y = line[i][j + 1];
                res[x][y] = res[y][x] = 1;
            }

            if (cycle[i].size() > 1) cycle[i].push_back(cycle[i][0]);
            for (int j = 0; j + 1 < cycle[i].size(); j++) {
                int x = cycle[i][j], y = cycle[i][j + 1];
                res[x][y] = res[y][x] = 1;
            }
        }

        // check satisfaction
        // p[i][j] = 0, p[j][k] = 0, p[i][k] > 0
        // p[i][j] = 1 iff lineIndex[i] = lineIndex[j]
        for (int i = 0; i < n; i++) {
            if (cycle[i].size() == 2) return 0;
            for (int j = 0; j < n; j++) {
                int a = cycleIndex[lineIndex[i]];
                int b = cycleIndex[lineIndex[j]];
                if (p[i][j] == 0 && a == b) {
                    return 0;
                }
                if (p[i][j] && a != b) {
                    return 0;
                }
                if (p[i][j] == 1 && lineIndex[i] != lineIndex[j]) {
                    return 0;
                }
                if (p[i][j] == 2 && lineIndex[i] == lineIndex[j]) {
                    return 0;
                } 
            }
        }

        build(res);
        return 1;
    }
};


int construct(vector<vector<int>> p) {
    return Solver(p).solve();
}

Compilation message

supertrees.cpp: In constructor 'Solver::Solver(std::vector<std::vector<int> >)':
supertrees.cpp:9:25: warning: 'Solver::p' will be initialized after [-Wreorder]
    9 |     vector<vector<int>> p, line, cycle;
      |                         ^
supertrees.cpp:6:9: warning:   'int Solver::n' [-Wreorder]
    6 |     int n;
      |         ^
supertrees.cpp:11:5: warning:   when initialized here [-Wreorder]
   11 |     Solver(vector<vector<int>> p): p(p), n(p.size()) {
      |     ^~~~~~
supertrees.cpp: In member function 'int Solver::solve()':
supertrees.cpp:63:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |             for (int j = 0; j + 1 < line[i].size(); j++) {
      |                             ~~~~~~^~~~~~~~~~~~~~~~
supertrees.cpp:69:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |             for (int j = 0; j + 1 < cycle[i].size(); j++) {
      |                             ~~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 11 ms 1536 KB Output is correct
7 Correct 243 ms 30072 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 11 ms 1536 KB Output is correct
7 Correct 243 ms 30072 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 10 ms 1536 KB Output is correct
13 Correct 247 ms 30164 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 6 ms 1152 KB Output is correct
17 Correct 120 ms 20216 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 61 ms 7800 KB Output is correct
21 Correct 246 ms 30072 KB Output is correct
22 Correct 253 ms 30072 KB Output is correct
23 Correct 256 ms 30200 KB Output is correct
24 Correct 240 ms 30076 KB Output is correct
25 Correct 108 ms 20088 KB Output is correct
26 Correct 110 ms 20096 KB Output is correct
27 Correct 252 ms 30072 KB Output is correct
28 Correct 243 ms 30200 KB Output is correct

Subtask #3
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Incorrect 0 ms 256 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 1 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 61 ms 7800 KB Output is correct
5 Correct 247 ms 30072 KB Output is correct
6 Correct 250 ms 30072 KB Output is correct
7 Correct 255 ms 30072 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 61 ms 7800 KB Output is correct
10 Correct 251 ms 30072 KB Output is correct
11 Correct 245 ms 30072 KB Output is correct
12 Correct 261 ms 30200 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 61 ms 7800 KB Output is correct
17 Correct 245 ms 30072 KB Output is correct
18 Correct 253 ms 30072 KB Output is correct
19 Correct 245 ms 30072 KB Output is correct
20 Correct 247 ms 30072 KB Output is correct

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 11 ms 1536 KB Output is correct
7 Correct 243 ms 30072 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 10 ms 1536 KB Output is correct
13 Correct 247 ms 30164 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 6 ms 1152 KB Output is correct
17 Correct 120 ms 20216 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 61 ms 7800 KB Output is correct
21 Correct 246 ms 30072 KB Output is correct
22 Correct 253 ms 30072 KB Output is correct
23 Correct 256 ms 30200 KB Output is correct
24 Correct 240 ms 30076 KB Output is correct
25 Correct 108 ms 20088 KB Output is correct
26 Correct 110 ms 20096 KB Output is correct
27 Correct 252 ms 30072 KB Output is correct
28 Correct 243 ms 30200 KB Output is correct
29 Correct 1 ms 256 KB Output is correct
30 Correct 0 ms 256 KB Output is correct
31 Correct 0 ms 256 KB Output is correct
32 Incorrect 0 ms 256 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 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 11 ms 1536 KB Output is correct
7 Correct 243 ms 30072 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 10 ms 1536 KB Output is correct
13 Correct 247 ms 30164 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 0 ms 256 KB Output is correct
16 Correct 6 ms 1152 KB Output is correct
17 Correct 120 ms 20216 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 61 ms 7800 KB Output is correct
21 Correct 246 ms 30072 KB Output is correct
22 Correct 253 ms 30072 KB Output is correct
23 Correct 256 ms 30200 KB Output is correct
24 Correct 240 ms 30076 KB Output is correct
25 Correct 108 ms 20088 KB Output is correct
26 Correct 110 ms 20096 KB Output is correct
27 Correct 252 ms 30072 KB Output is correct
28 Correct 243 ms 30200 KB Output is correct
29 Correct 1 ms 256 KB Output is correct
30 Correct 0 ms 256 KB Output is correct
31 Correct 0 ms 256 KB Output is correct
32 Incorrect 0 ms 256 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -