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Submission #301603

# Submission time Handle Problem Language Result Execution time Memory
301603 2020-09-18T05:15:16 Z smax Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 292 ms 26104 KB 
#include "supertrees.h"
#include <vector>
#include <queue>
#include <set>
using namespace std;

struct DSU {
    vector<int> par, sz;

    DSU(int n) : par(n), sz(n) {
        for (int i=0; i<n; i++) {
            par[i] = i;
            sz[i] = 1;
        }
    }

    int findRoot(int u) {
        if (par[u] != u)
            par[u] = findRoot(par[u]);
        return par[u];
    }

    bool unite(int u, int v) {
        u = findRoot(u), v = findRoot(v);
        if (u == v)
            return false;
        if (sz[u] < sz[v])
            swap(u, v);
        par[v] = u;
        sz[u] += sz[v];
        return true;
    }
};

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

	vector<vector<int>> adj(n);
    for (int i=0; i<n; i++)
        for (int j=0; j<n; j++) {
            if (p[i][j] == 3)
                return 0;
            if (p[i][j] == 1)
                adj[i].push_back(j);
        }

    vector<int> id(n, -1);
    vector<vector<int>> comp;
    queue<int> q;
    for (int i=0; i<n; i++)
        if (id[i] == -1) {
            comp.emplace_back();
            q.push(i);
            id[i] = (int) comp.size() - 1;
            while (!q.empty()) {
                int u = q.front();
                q.pop();
                for (int v : comp.back())
                    if (p[u][v] != 1)
                        return 0;
                comp.back().push_back(u);
                for (int v : adj[u])
                    if (id[v] == -1) {
                        q.push(v);
                        id[v] = (int) comp.size() - 1;
                    }
            }
        }

    int m = comp.size();
    DSU ds(m);
    vector<vector<bool>> two(m, vector<bool>(m));
    for (int i=0; i<m; i++) {
        for (int j=1; j<(int)comp[i].size(); j++)
            answer[comp[i][j-1]][comp[i][j]] = answer[comp[i][j]][comp[i][j-1]] = 1;
        for (int u : comp[i])
            for (int v=0; v<n; v++)
                if (p[u][v] == 2) {
                    two[id[u]][id[v]] = two[id[v]][id[u]] = true;
                    ds.unite(id[u], id[v]);
                }
    }

    vector<vector<int>> big(m);
    for (int i=0; i<m; i++) {
        for (int v : big[ds.par[i]])
            if (!two[i][v])
                return 0;
        big[ds.par[i]].push_back(i);
    }

    auto get = [&] (int id) {
        return comp[id][0];
    };

    for (auto &c : big) {
        if (c.size() == 2)
            return 0;
        for (int i=1; i<(int)c.size(); i++)
            answer[get(c[i-1])][get(c[i])] = answer[get(c[i])][get(c[i-1])] = 1;
        if (c.size() > 2)
            answer[get(c.back())][get(c[0])] = answer[get(c[0])][get(c.back())] = 1;
    }

	build(answer);
	return 1;
}

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 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 11 ms 1408 KB Output is correct
7 Correct 263 ms 26104 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 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 11 ms 1408 KB Output is correct
7 Correct 263 ms 26104 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 11 ms 1280 KB Output is correct
13 Correct 247 ms 22392 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 896 KB Output is correct
17 Correct 124 ms 14584 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 63 ms 6008 KB Output is correct
21 Correct 255 ms 22732 KB Output is correct
22 Correct 252 ms 22264 KB Output is correct
23 Correct 266 ms 24312 KB Output is correct
24 Correct 257 ms 22392 KB Output is correct
25 Correct 114 ms 12668 KB Output is correct
26 Correct 110 ms 12280 KB Output is correct
27 Correct 273 ms 25208 KB Output is correct
28 Correct 271 ms 22520 KB Output is correct

Subtask #3
19.0 / 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 1 ms 256 KB Output is correct
4 Correct 1 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 10 ms 1280 KB Output is correct
9 Correct 252 ms 22392 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 256 KB Output is correct
12 Correct 12 ms 1280 KB Output is correct
13 Correct 274 ms 22392 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 768 KB Output is correct
17 Correct 133 ms 12536 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 0 ms 256 KB Output is correct
21 Correct 63 ms 5996 KB Output is correct
22 Correct 257 ms 22392 KB Output is correct
23 Correct 256 ms 22392 KB Output is correct
24 Correct 274 ms 22528 KB Output is correct
25 Correct 112 ms 12536 KB Output is correct
26 Correct 117 ms 12492 KB Output is correct
27 Correct 262 ms 22392 KB Output is correct
28 Correct 282 ms 22392 KB Output is correct
29 Correct 117 ms 12536 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 64 ms 5880 KB Output is correct
5 Correct 252 ms 22768 KB Output is correct
6 Correct 264 ms 22240 KB Output is correct
7 Correct 268 ms 24140 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 66 ms 5880 KB Output is correct
10 Correct 292 ms 22392 KB Output is correct
11 Correct 256 ms 22392 KB Output is correct
12 Correct 271 ms 22392 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 256 KB Output is correct
15 Correct 1 ms 256 KB Output is correct
16 Correct 64 ms 5872 KB Output is correct
17 Correct 273 ms 22424 KB Output is correct
18 Correct 267 ms 22264 KB Output is correct
19 Correct 262 ms 22392 KB Output is correct
20 Correct 254 ms 22484 KB Output is correct

Subtask #5
21.0 / 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 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 11 ms 1408 KB Output is correct
7 Correct 263 ms 26104 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 11 ms 1280 KB Output is correct
13 Correct 247 ms 22392 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 896 KB Output is correct
17 Correct 124 ms 14584 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 63 ms 6008 KB Output is correct
21 Correct 255 ms 22732 KB Output is correct
22 Correct 252 ms 22264 KB Output is correct
23 Correct 266 ms 24312 KB Output is correct
24 Correct 257 ms 22392 KB Output is correct
25 Correct 114 ms 12668 KB Output is correct
26 Correct 110 ms 12280 KB Output is correct
27 Correct 273 ms 25208 KB Output is correct
28 Correct 271 ms 22520 KB Output is correct
29 Correct 1 ms 256 KB Output is correct
30 Correct 0 ms 256 KB Output is correct
31 Correct 1 ms 256 KB Output is correct
32 Correct 1 ms 256 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 1 ms 256 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 10 ms 1280 KB Output is correct
37 Correct 252 ms 22392 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 256 KB Output is correct
40 Correct 12 ms 1280 KB Output is correct
41 Correct 274 ms 22392 KB Output is correct
42 Correct 1 ms 256 KB Output is correct
43 Correct 0 ms 256 KB Output is correct
44 Correct 6 ms 768 KB Output is correct
45 Correct 133 ms 12536 KB Output is correct
46 Correct 1 ms 256 KB Output is correct
47 Correct 0 ms 256 KB Output is correct
48 Correct 0 ms 256 KB Output is correct
49 Correct 63 ms 5996 KB Output is correct
50 Correct 257 ms 22392 KB Output is correct
51 Correct 256 ms 22392 KB Output is correct
52 Correct 274 ms 22528 KB Output is correct
53 Correct 112 ms 12536 KB Output is correct
54 Correct 117 ms 12492 KB Output is correct
55 Correct 262 ms 22392 KB Output is correct
56 Correct 282 ms 22392 KB Output is correct
57 Correct 117 ms 12536 KB Output is correct
58 Correct 0 ms 256 KB Output is correct
59 Correct 0 ms 256 KB Output is correct
60 Correct 6 ms 896 KB Output is correct
61 Correct 125 ms 14200 KB Output is correct
62 Correct 1 ms 256 KB Output is correct
63 Correct 1 ms 256 KB Output is correct
64 Correct 0 ms 256 KB Output is correct
65 Correct 63 ms 5880 KB Output is correct
66 Correct 126 ms 12408 KB Output is correct
67 Correct 111 ms 12152 KB Output is correct
68 Correct 114 ms 12408 KB Output is correct
69 Correct 114 ms 12536 KB Output is correct

Subtask #6
4.0 / 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 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 11 ms 1408 KB Output is correct
7 Correct 263 ms 26104 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 360 KB Output is correct
12 Correct 11 ms 1280 KB Output is correct
13 Correct 247 ms 22392 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 896 KB Output is correct
17 Correct 124 ms 14584 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 256 KB Output is correct
20 Correct 63 ms 6008 KB Output is correct
21 Correct 255 ms 22732 KB Output is correct
22 Correct 252 ms 22264 KB Output is correct
23 Correct 266 ms 24312 KB Output is correct
24 Correct 257 ms 22392 KB Output is correct
25 Correct 114 ms 12668 KB Output is correct
26 Correct 110 ms 12280 KB Output is correct
27 Correct 273 ms 25208 KB Output is correct
28 Correct 271 ms 22520 KB Output is correct
29 Correct 1 ms 256 KB Output is correct
30 Correct 0 ms 256 KB Output is correct
31 Correct 1 ms 256 KB Output is correct
32 Correct 1 ms 256 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 1 ms 256 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 10 ms 1280 KB Output is correct
37 Correct 252 ms 22392 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 256 KB Output is correct
40 Correct 12 ms 1280 KB Output is correct
41 Correct 274 ms 22392 KB Output is correct
42 Correct 1 ms 256 KB Output is correct
43 Correct 0 ms 256 KB Output is correct
44 Correct 6 ms 768 KB Output is correct
45 Correct 133 ms 12536 KB Output is correct
46 Correct 1 ms 256 KB Output is correct
47 Correct 0 ms 256 KB Output is correct
48 Correct 0 ms 256 KB Output is correct
49 Correct 63 ms 5996 KB Output is correct
50 Correct 257 ms 22392 KB Output is correct
51 Correct 256 ms 22392 KB Output is correct
52 Correct 274 ms 22528 KB Output is correct
53 Correct 112 ms 12536 KB Output is correct
54 Correct 117 ms 12492 KB Output is correct
55 Correct 262 ms 22392 KB Output is correct
56 Correct 282 ms 22392 KB Output is correct
57 Correct 117 ms 12536 KB Output is correct
58 Correct 0 ms 256 KB Output is correct
59 Correct 1 ms 384 KB Output is correct
60 Correct 1 ms 256 KB Output is correct
61 Correct 64 ms 5880 KB Output is correct
62 Correct 252 ms 22768 KB Output is correct
63 Correct 264 ms 22240 KB Output is correct
64 Correct 268 ms 24140 KB Output is correct
65 Correct 1 ms 256 KB Output is correct
66 Correct 66 ms 5880 KB Output is correct
67 Correct 292 ms 22392 KB Output is correct
68 Correct 256 ms 22392 KB Output is correct
69 Correct 271 ms 22392 KB Output is correct
70 Correct 1 ms 384 KB Output is correct
71 Correct 1 ms 256 KB Output is correct
72 Correct 1 ms 256 KB Output is correct
73 Correct 64 ms 5872 KB Output is correct
74 Correct 273 ms 22424 KB Output is correct
75 Correct 267 ms 22264 KB Output is correct
76 Correct 262 ms 22392 KB Output is correct
77 Correct 254 ms 22484 KB Output is correct
78 Correct 0 ms 256 KB Output is correct
79 Correct 0 ms 256 KB Output is correct
80 Correct 6 ms 896 KB Output is correct
81 Correct 125 ms 14200 KB Output is correct
82 Correct 1 ms 256 KB Output is correct
83 Correct 1 ms 256 KB Output is correct
84 Correct 0 ms 256 KB Output is correct
85 Correct 63 ms 5880 KB Output is correct
86 Correct 126 ms 12408 KB Output is correct
87 Correct 111 ms 12152 KB Output is correct
88 Correct 114 ms 12408 KB Output is correct
89 Correct 114 ms 12536 KB Output is correct
90 Correct 0 ms 256 KB Output is correct
91 Correct 1 ms 288 KB Output is correct
92 Correct 5 ms 768 KB Output is correct
93 Correct 114 ms 12268 KB Output is correct
94 Correct 0 ms 256 KB Output is correct
95 Correct 0 ms 256 KB Output is correct
96 Correct 0 ms 256 KB Output is correct
97 Correct 28 ms 3268 KB Output is correct
98 Correct 115 ms 12240 KB Output is correct
99 Correct 114 ms 12152 KB Output is correct
100 Correct 110 ms 12152 KB Output is correct
101 Correct 112 ms 12152 KB Output is correct
102 Correct 118 ms 12152 KB Output is correct
103 Correct 114 ms 12156 KB Output is correct
104 Correct 123 ms 12280 KB Output is correct
105 Correct 116 ms 12152 KB Output is correct