Submission #469085

# Submission time Handle Problem Language Result Execution time Memory
469085 2021-08-30T16:20:04 Z hoanghq2004 Connecting Supertrees (IOI20_supertrees) C++14
96 / 100
335 ms 24088 KB
#include <bits/stdc++.h>
#define IOI
#ifdef IOI
#include "supertrees.h"
#endif

using namespace std;

const int Nmax = 1e3 + 10;

int n;
#ifndef IOI
    std::vector<std::vector<int>> p;
std::vector<std::vector<int>> b;
bool called = false;

void check(bool cond, std::string message) {
    if (!cond) {
        printf("%s\n", message.c_str());
        exit(0);
    }
}

void build(std::vector<std::vector<int>> _b) {
    check(!called, "build is called more than once");
    called = true;
    check((int)_b.size() == n, "Invalid number of rows in b");
    for (int i = 0; i < n; i++) {
        check((int)_b[i].size() == n, "Invalid number of columns in b");
    }
    b = _b;
}

#endif // IOI

int root[3][Nmax], sz[3][Nmax];
vector <int> rt[Nmax];

int Find(int _, int u) {
    return (u == root[_][u] ? u : root[_][u] = Find(_, root[_][u]));
}

void Union(int _, int u, int v) {
    if ((u = Find(_, u)) == (v = Find(_, v))) return;
    if (sz[_][u] < sz[_][v]) swap(u, v);
    sz[_][u] += sz[_][v];
    root[_][v] = u;
}

int vis[Nmax];

int construct(vector <vector <int> > p) {
    int n = p.size();
    vector <vector <int> > b(n, vector <int> (n, 0));
    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j)
            if (p[i][j] != p[j][i]) return 0;
    for (int i = 0; i < n; ++i) if (p[i][i] != 1) return 0;
    for (int i = 0; i < n; ++i) for (int j = 0; j < 3; ++j) root[j][i] = i, sz[j][i] = 1;
    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j)
            if (p[i][j] == 1) Union(0, i, j);
    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j)
            if (Find(0, i) == Find(0, j) && p[i][j] != 1) return 0;

    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j) {
            if (p[i][j] == 2) Union(1, Find(0, i), Find(0, j));
            if (p[i][j] == 3) Union(2, Find(0, i), Find(0, j));
        }

    for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j) {
            if (Find(0, i) != Find(0, j) && p[i][j] != 2 && Find(1, Find(0, i)) == Find(1, Find(0, j))) return 0;
            if (Find(0, i) != Find(0, j) && p[i][j] != 3 && Find(2, Find(0, i)) == Find(2, Find(0, j))) return 0;
        }
    for (int i = 0; i < n; ++i)
        if (i != Find(0, i)) {
//            cout << i << " " << Find(0, i) << "\n";
            b[i][Find(0, i)] = b[Find(0, i)][i] = 1;
        }
    for (int i = 0; i < n; ++i) {
        if (i == Find(0, i)) rt[Find(1, i)].push_back(i);
    }
    for (int i = 0; i < n; ++i) {
        if (rt[i].size() <= 1) continue;
        if (rt[i].size() == 2) return 0;
//        for (auto u: rt[i]) vis[u] = 1;
        for (int j = 1; j < rt[i].size(); ++j) b[rt[i][j]][rt[i][j - 1]] = b[rt[i][j - 1]][rt[i][j]] = 1;
        b[rt[i].front()][rt[i].back()] = b[rt[i].back()][rt[i].front()] = 1;
    }
    for (int i = 0; i < n; ++i) rt[i].clear();
    for (int i = 0; i < n; ++i) {
        if (i == Find(0, i)) rt[Find(2, i)].push_back(i);
    }
    for (int i = 0; i < n; ++i) {
        if (rt[i].size() <= 1) continue;
        if (rt[i].size() == 2 || rt[i].size() == 3) return 0;
//        for (auto u: rt[i]) vis[u] = 1;
        for (int j = 1; j < rt[i].size(); ++j) b[rt[i][j]][rt[i][j - 1]] = b[rt[i][j - 1]][rt[i][j]] = 1;
        b[rt[i].front()][rt[i].back()] = b[rt[i].back()][rt[i].front()] = 1;
        b[rt[i][0]][rt[i][2]] = b[rt[i][2]][rt[i][0]] = 1;
    }
//    for (int i = 0; i < n; ++i) if (i == Find(0, i) && !vis[i]) return 0;
    build(b);
    return 1;
}

#ifndef IOI

int main() {
    assert(scanf("%d", &n) == 1);

    p.resize(n);
    for (int i = 0; i < n; i++) {
        p[i].resize(n);
    }

    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            assert(scanf("%d", &p[i][j]) == 1);
        }
    }

    int possible = construct(p);

    check(possible == 0 || possible == 1, "Invalid return value of construct");
    if (possible == 1) {
        check(called, "construct returned 1 without calling build");
    } else {
        check(!called, "construct called build but returned 0");
    }

    printf("%d\n", possible);
    if (possible == 1) {
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                if (j) {
                    printf(" ");
                }
                printf("%d", b[i][j]);
            }
            printf("\n");
        }
    }
    for (int i = 0; i < n; ++i)
        for (int j = i + 1; j < n; ++j)
            if (b[i][j]) cout << i << " " << j << "\n";
}
#endif

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:90:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |         for (int j = 1; j < rt[i].size(); ++j) b[rt[i][j]][rt[i][j - 1]] = b[rt[i][j - 1]][rt[i][j]] = 1;
      |                         ~~^~~~~~~~~~~~~~
supertrees.cpp:101:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  101 |         for (int j = 1; j < rt[i].size(); ++j) b[rt[i][j]][rt[i][j - 1]] = b[rt[i][j - 1]][rt[i][j]] = 1;
      |                         ~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 14 ms 1212 KB Output is correct
7 Correct 264 ms 22040 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 14 ms 1212 KB Output is correct
7 Correct 264 ms 22040 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 12 ms 1228 KB Output is correct
13 Correct 284 ms 22132 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 5 ms 740 KB Output is correct
17 Correct 111 ms 12072 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 77 ms 5912 KB Output is correct
21 Correct 334 ms 22044 KB Output is correct
22 Correct 312 ms 22004 KB Output is correct
23 Correct 309 ms 22084 KB Output is correct
24 Correct 285 ms 22084 KB Output is correct
25 Correct 99 ms 12060 KB Output is correct
26 Correct 97 ms 12072 KB Output is correct
27 Correct 316 ms 22056 KB Output is correct
28 Correct 283 ms 22004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 12 ms 1228 KB Output is correct
9 Correct 282 ms 22060 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 12 ms 1172 KB Output is correct
13 Correct 284 ms 22084 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 5 ms 832 KB Output is correct
17 Correct 130 ms 12060 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 0 ms 332 KB Output is correct
21 Correct 73 ms 5784 KB Output is correct
22 Correct 294 ms 22152 KB Output is correct
23 Correct 292 ms 22052 KB Output is correct
24 Correct 308 ms 22160 KB Output is correct
25 Correct 156 ms 12100 KB Output is correct
26 Correct 102 ms 12056 KB Output is correct
27 Correct 290 ms 22024 KB Output is correct
28 Correct 309 ms 22084 KB Output is correct
29 Correct 160 ms 12100 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 74 ms 5792 KB Output is correct
5 Correct 335 ms 22084 KB Output is correct
6 Correct 296 ms 22040 KB Output is correct
7 Correct 311 ms 22040 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 77 ms 5760 KB Output is correct
10 Correct 297 ms 22012 KB Output is correct
11 Correct 305 ms 22044 KB Output is correct
12 Correct 327 ms 22012 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 1 ms 272 KB Output is correct
16 Correct 73 ms 5800 KB Output is correct
17 Correct 296 ms 22084 KB Output is correct
18 Correct 298 ms 22056 KB Output is correct
19 Correct 307 ms 22040 KB Output is correct
20 Correct 282 ms 22084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 14 ms 1212 KB Output is correct
7 Correct 264 ms 22040 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 12 ms 1228 KB Output is correct
13 Correct 284 ms 22132 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 5 ms 740 KB Output is correct
17 Correct 111 ms 12072 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 77 ms 5912 KB Output is correct
21 Correct 334 ms 22044 KB Output is correct
22 Correct 312 ms 22004 KB Output is correct
23 Correct 309 ms 22084 KB Output is correct
24 Correct 285 ms 22084 KB Output is correct
25 Correct 99 ms 12060 KB Output is correct
26 Correct 97 ms 12072 KB Output is correct
27 Correct 316 ms 22056 KB Output is correct
28 Correct 283 ms 22004 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 0 ms 332 KB Output is correct
31 Correct 0 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 0 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 12 ms 1228 KB Output is correct
37 Correct 282 ms 22060 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 12 ms 1172 KB Output is correct
41 Correct 284 ms 22084 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 0 ms 332 KB Output is correct
44 Correct 5 ms 832 KB Output is correct
45 Correct 130 ms 12060 KB Output is correct
46 Correct 0 ms 332 KB Output is correct
47 Correct 0 ms 332 KB Output is correct
48 Correct 0 ms 332 KB Output is correct
49 Correct 73 ms 5784 KB Output is correct
50 Correct 294 ms 22152 KB Output is correct
51 Correct 292 ms 22052 KB Output is correct
52 Correct 308 ms 22160 KB Output is correct
53 Correct 156 ms 12100 KB Output is correct
54 Correct 102 ms 12056 KB Output is correct
55 Correct 290 ms 22024 KB Output is correct
56 Correct 309 ms 22084 KB Output is correct
57 Correct 160 ms 12100 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 5 ms 848 KB Output is correct
61 Correct 122 ms 14092 KB Output is correct
62 Correct 1 ms 332 KB Output is correct
63 Correct 1 ms 332 KB Output is correct
64 Correct 1 ms 332 KB Output is correct
65 Correct 75 ms 6312 KB Output is correct
66 Correct 105 ms 14104 KB Output is correct
67 Correct 98 ms 14088 KB Output is correct
68 Correct 106 ms 14100 KB Output is correct
69 Correct 154 ms 14100 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 14 ms 1212 KB Output is correct
7 Correct 264 ms 22040 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 12 ms 1228 KB Output is correct
13 Correct 284 ms 22132 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 5 ms 740 KB Output is correct
17 Correct 111 ms 12072 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 77 ms 5912 KB Output is correct
21 Correct 334 ms 22044 KB Output is correct
22 Correct 312 ms 22004 KB Output is correct
23 Correct 309 ms 22084 KB Output is correct
24 Correct 285 ms 22084 KB Output is correct
25 Correct 99 ms 12060 KB Output is correct
26 Correct 97 ms 12072 KB Output is correct
27 Correct 316 ms 22056 KB Output is correct
28 Correct 283 ms 22004 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 0 ms 332 KB Output is correct
31 Correct 0 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 0 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 12 ms 1228 KB Output is correct
37 Correct 282 ms 22060 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 12 ms 1172 KB Output is correct
41 Correct 284 ms 22084 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 0 ms 332 KB Output is correct
44 Correct 5 ms 832 KB Output is correct
45 Correct 130 ms 12060 KB Output is correct
46 Correct 0 ms 332 KB Output is correct
47 Correct 0 ms 332 KB Output is correct
48 Correct 0 ms 332 KB Output is correct
49 Correct 73 ms 5784 KB Output is correct
50 Correct 294 ms 22152 KB Output is correct
51 Correct 292 ms 22052 KB Output is correct
52 Correct 308 ms 22160 KB Output is correct
53 Correct 156 ms 12100 KB Output is correct
54 Correct 102 ms 12056 KB Output is correct
55 Correct 290 ms 22024 KB Output is correct
56 Correct 309 ms 22084 KB Output is correct
57 Correct 160 ms 12100 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 0 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 74 ms 5792 KB Output is correct
62 Correct 335 ms 22084 KB Output is correct
63 Correct 296 ms 22040 KB Output is correct
64 Correct 311 ms 22040 KB Output is correct
65 Correct 1 ms 332 KB Output is correct
66 Correct 77 ms 5760 KB Output is correct
67 Correct 297 ms 22012 KB Output is correct
68 Correct 305 ms 22044 KB Output is correct
69 Correct 327 ms 22012 KB Output is correct
70 Correct 1 ms 332 KB Output is correct
71 Correct 0 ms 332 KB Output is correct
72 Correct 1 ms 272 KB Output is correct
73 Correct 73 ms 5800 KB Output is correct
74 Correct 296 ms 22084 KB Output is correct
75 Correct 298 ms 22056 KB Output is correct
76 Correct 307 ms 22040 KB Output is correct
77 Correct 282 ms 22084 KB Output is correct
78 Correct 1 ms 332 KB Output is correct
79 Correct 1 ms 332 KB Output is correct
80 Correct 5 ms 848 KB Output is correct
81 Correct 122 ms 14092 KB Output is correct
82 Correct 1 ms 332 KB Output is correct
83 Correct 1 ms 332 KB Output is correct
84 Correct 1 ms 332 KB Output is correct
85 Correct 75 ms 6312 KB Output is correct
86 Correct 105 ms 14104 KB Output is correct
87 Correct 98 ms 14088 KB Output is correct
88 Correct 106 ms 14100 KB Output is correct
89 Correct 154 ms 14100 KB Output is correct
90 Correct 1 ms 332 KB Output is correct
91 Correct 1 ms 332 KB Output is correct
92 Correct 5 ms 844 KB Output is correct
93 Correct 108 ms 14088 KB Output is correct
94 Correct 1 ms 332 KB Output is correct
95 Correct 1 ms 332 KB Output is correct
96 Correct 1 ms 332 KB Output is correct
97 Correct 41 ms 3720 KB Output is correct
98 Correct 162 ms 14092 KB Output is correct
99 Correct 114 ms 14092 KB Output is correct
100 Correct 109 ms 14104 KB Output is correct
101 Correct 157 ms 14088 KB Output is correct
102 Incorrect 293 ms 24088 KB Answer gives possible 1 while actual possible 0
103 Halted 0 ms 0 KB -