oj.uz

Submission #1061875

# Submission time Handle Problem Language Result Execution time Memory
1061875 2024-08-16T14:37:31 Z vjudge1 Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 138 ms 22100 KB 
#include "supertrees.h"
#include <bits/stdc++.h>

using namespace std;

using vi = vector<int>;

struct DSU {
    vi e;
    DSU(int n) : e(n, -1) {}

    int repr(int u) {
        while(e[u] >= 0) u = e[u];
        return u;
    }

    void join(int u, int v) {
        u = repr(u); v = repr(v);
        if(u == v) return;
        if(e[u] >= e[v]) swap(u, v);
        e[u] += e[v];
        e[v] = u;
    }

    bool same(int u, int v) { return repr(u) == repr(v); }

    vector<vi> comp() {
        ///va da componentele
        int n = int(e.size()), nr = 0;
        map<int, int> Id;
        for(int i = 0; i < n; ++i) {
            if(e[i] < 0) {
                Id[i] = nr++;
            }
        }
        vector<vi> Re(nr);
        for(int i = 0; i < n; ++i)
            Re[Id[repr(i)]].push_back(i);
        return Re;
    }
};

bool solve(vi comp, vector<vi> &p, vector<vi> &L) {
    int m = (int)comp.size(), n = (int)p.size();
    DSU Sol(m);
    bool ok = true;
    for(int i = 0; i < m; ++i)
        for(int j = i + 1; j < m; ++j)
            if(p[comp[i]][comp[j]] == 0 || p[comp[i]][comp[j]] == 3) ok = 0;
    for(int i = 0; i < m; ++i)
        for(int j = i + 1; j < m; ++j)
            if(p[comp[i]][comp[j]] == 1) Sol.join(i, j); /// arborescenta
    for(int i = 0; i < m; ++i)
        for(int j = i + 1; j < m; ++j)
            if(p[comp[i]][comp[j]] != 1 && Sol.same(i, j)) ok = false;
    auto Arb = Sol.comp();
    vi A;
    for(auto sir : Arb) {
        for(int i = 1; i < (int)sir.size(); ++i) {
            L[comp[sir[0]]][comp[sir[i]]] = 1;
            L[comp[sir[i]]][comp[sir[0]]] = 1;
        }
        A.push_back(comp[sir[0]]);
    }
    if(A.size() == 2) ok = false;
    for(int i = 0; i + 1 < (int)A.size(); ++i) {
        L[A[i]][A[i + 1]] = 1;
        L[A[i + 1]][A[i]] = 1;
    }
    if(A.size() != 1) {
        L[A[0]][A.back()] = 1;
        L[A.back()][A[0]] = 1;
    }
    return ok;
}

int construct(vector<vi> p) {
    int n = int(p.size());
    DSU Sol(n);
    for(int i = 0; i < n; ++i) {
        for(int j = i + 1; j < n; ++j) {
            if(p[i][j]) Sol.join(i, j);
        }
    }
    bool ok = true;
    for(int i = 0; i < n; ++i) {
        for(int j = i + 1; j < n; ++j) {
            if(p[i][j] == 0 && Sol.same(i, j))
                ok = false;
            if(p[i][j] == 3)
                ok = false;
        }
    }
    if(!ok) return 0;
    auto C = Sol.comp();
    vector<vi> Muchii(n, vi(n, 0));
    for(auto comp : C) {
        ok &= solve(comp, p, Muchii);
    }
    if(ok) {
        build(Muchii);
    }
    return ok;
}

Compilation message

supertrees.cpp: In function 'bool solve(vi, std::vector<std::vector<int> >&, std::vector<std::vector<int> >&)':
supertrees.cpp:44:31: warning: unused variable 'n' [-Wunused-variable]
   44 |     int m = (int)comp.size(), n = (int)p.size();
      |                               ^

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 7 ms 1112 KB Output is correct
7 Correct 113 ms 22012 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 7 ms 1112 KB Output is correct
7 Correct 113 ms 22012 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1116 KB Output is correct
13 Correct 108 ms 22044 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 61 ms 8276 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 29 ms 5776 KB Output is correct
21 Correct 113 ms 22096 KB Output is correct
22 Correct 111 ms 22028 KB Output is correct
23 Correct 118 ms 22100 KB Output is correct
24 Correct 108 ms 22100 KB Output is correct
25 Correct 48 ms 8276 KB Output is correct
26 Correct 46 ms 8280 KB Output is correct
27 Correct 116 ms 22020 KB Output is correct
28 Correct 114 ms 22044 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 5 ms 1116 KB Output is correct
9 Correct 111 ms 22072 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1116 KB Output is correct
13 Correct 112 ms 22096 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 604 KB Output is correct
17 Correct 56 ms 8216 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 28 ms 5720 KB Output is correct
22 Correct 110 ms 22096 KB Output is correct
23 Correct 115 ms 22100 KB Output is correct
24 Correct 129 ms 22040 KB Output is correct
25 Correct 48 ms 12124 KB Output is correct
26 Correct 55 ms 8196 KB Output is correct
27 Correct 109 ms 22096 KB Output is correct
28 Correct 138 ms 22020 KB Output is correct
29 Correct 47 ms 12308 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 30 ms 5716 KB Output is correct
5 Correct 113 ms 22096 KB Output is correct
6 Correct 119 ms 22040 KB Output is correct
7 Correct 126 ms 22100 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 28 ms 5848 KB Output is correct
10 Correct 110 ms 22100 KB Output is correct
11 Correct 108 ms 22100 KB Output is correct
12 Correct 117 ms 22040 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 28 ms 5796 KB Output is correct
17 Correct 111 ms 22100 KB Output is correct
18 Correct 109 ms 22096 KB Output is correct
19 Correct 117 ms 22020 KB Output is correct
20 Correct 108 ms 22096 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 7 ms 1112 KB Output is correct
7 Correct 113 ms 22012 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1116 KB Output is correct
13 Correct 108 ms 22044 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 61 ms 8276 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 29 ms 5776 KB Output is correct
21 Correct 113 ms 22096 KB Output is correct
22 Correct 111 ms 22028 KB Output is correct
23 Correct 118 ms 22100 KB Output is correct
24 Correct 108 ms 22100 KB Output is correct
25 Correct 48 ms 8276 KB Output is correct
26 Correct 46 ms 8280 KB Output is correct
27 Correct 116 ms 22020 KB Output is correct
28 Correct 114 ms 22044 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 5 ms 1116 KB Output is correct
37 Correct 111 ms 22072 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 5 ms 1116 KB Output is correct
41 Correct 112 ms 22096 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 56 ms 8216 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 28 ms 5720 KB Output is correct
50 Correct 110 ms 22096 KB Output is correct
51 Correct 115 ms 22100 KB Output is correct
52 Correct 129 ms 22040 KB Output is correct
53 Correct 48 ms 12124 KB Output is correct
54 Correct 55 ms 8196 KB Output is correct
55 Correct 109 ms 22096 KB Output is correct
56 Correct 138 ms 22020 KB Output is correct
57 Correct 47 ms 12308 KB Output is correct
58 Correct 0 ms 344 KB Output is correct
59 Correct 0 ms 344 KB Output is correct
60 Correct 3 ms 604 KB Output is correct
61 Correct 60 ms 8212 KB Output is correct
62 Correct 0 ms 344 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 32 ms 5780 KB Output is correct
66 Correct 48 ms 8276 KB Output is correct
67 Correct 47 ms 8276 KB Output is correct
68 Correct 69 ms 8276 KB Output is correct
69 Correct 55 ms 12308 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 7 ms 1112 KB Output is correct
7 Correct 113 ms 22012 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1116 KB Output is correct
13 Correct 108 ms 22044 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 61 ms 8276 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 29 ms 5776 KB Output is correct
21 Correct 113 ms 22096 KB Output is correct
22 Correct 111 ms 22028 KB Output is correct
23 Correct 118 ms 22100 KB Output is correct
24 Correct 108 ms 22100 KB Output is correct
25 Correct 48 ms 8276 KB Output is correct
26 Correct 46 ms 8280 KB Output is correct
27 Correct 116 ms 22020 KB Output is correct
28 Correct 114 ms 22044 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 5 ms 1116 KB Output is correct
37 Correct 111 ms 22072 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 5 ms 1116 KB Output is correct
41 Correct 112 ms 22096 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 2 ms 604 KB Output is correct
45 Correct 56 ms 8216 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 28 ms 5720 KB Output is correct
50 Correct 110 ms 22096 KB Output is correct
51 Correct 115 ms 22100 KB Output is correct
52 Correct 129 ms 22040 KB Output is correct
53 Correct 48 ms 12124 KB Output is correct
54 Correct 55 ms 8196 KB Output is correct
55 Correct 109 ms 22096 KB Output is correct
56 Correct 138 ms 22020 KB Output is correct
57 Correct 47 ms 12308 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 30 ms 5716 KB Output is correct
62 Correct 113 ms 22096 KB Output is correct
63 Correct 119 ms 22040 KB Output is correct
64 Correct 126 ms 22100 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 28 ms 5848 KB Output is correct
67 Correct 110 ms 22100 KB Output is correct
68 Correct 108 ms 22100 KB Output is correct
69 Correct 117 ms 22040 KB Output is correct
70 Correct 0 ms 344 KB Output is correct
71 Correct 0 ms 344 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 28 ms 5796 KB Output is correct
74 Correct 111 ms 22100 KB Output is correct
75 Correct 109 ms 22096 KB Output is correct
76 Correct 117 ms 22020 KB Output is correct
77 Correct 108 ms 22096 KB Output is correct
78 Correct 0 ms 344 KB Output is correct
79 Correct 0 ms 344 KB Output is correct
80 Correct 3 ms 604 KB Output is correct
81 Correct 60 ms 8212 KB Output is correct
82 Correct 0 ms 344 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 32 ms 5780 KB Output is correct
86 Correct 48 ms 8276 KB Output is correct
87 Correct 47 ms 8276 KB Output is correct
88 Correct 69 ms 8276 KB Output is correct
89 Correct 55 ms 12308 KB Output is correct
90 Correct 0 ms 344 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 2 ms 604 KB Output is correct
93 Correct 53 ms 8200 KB Output is correct
94 Correct 0 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 12 ms 2408 KB Output is correct
98 Correct 56 ms 8228 KB Output is correct
99 Correct 48 ms 8212 KB Output is correct
100 Correct 50 ms 8276 KB Output is correct
101 Correct 47 ms 8272 KB Output is correct
102 Correct 48 ms 8272 KB Output is correct
103 Correct 47 ms 8528 KB Output is correct
104 Correct 47 ms 8272 KB Output is correct
105 Correct 71 ms 8216 KB Output is correct