Submission #1043230

# Submission time Handle Problem Language Result Execution time Memory
1043230 2024-08-04T05:10:50 Z model_code Make them Meet (EGOI24_makethemmeet) C++17
84.83 / 100
2481 ms 3820 KB
#include <bits/stdc++.h>

using namespace std;
using int64 = int64_t;

constexpr int INF = (int) 1e9;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    vector<vector<int>> d(n, vector<int>(n, INF));
    for (int i = 0; i < n; ++i) d[i][i] = 0;
    for (int i = 0; i < m; ++i) {
      int a, b;
      cin >> a >> b;
      assert(d[a][b] == INF);
      d[a][b] = d[b][a] = 1;
    }
    for (int k = 0; k < n; ++k)
      for (int i = 0; i < n; ++i)
        for (int j = 0; j < n; ++j)
          d[i][j] = min(d[i][j], d[i][k] + d[k][j]);

    vector<vector<bool>> can(n, vector<bool>(n, false));
    for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) if (i != j) can[i][j] = true;
    vector<vector<int>> res;
    mt19937 rng(57);
    vector<double> scores = vector<double>(n);
    scores[n - 1] = 1;
    for (int i = n - 2; i >= 0; --i) scores[i] = scores[i + 1] + (n - i);
    vector<int> c(n);
    vector<bool> avail(n, true);
    vector<tuple<double, int, int>> cands;
    vector<int> order(n);
    double BONUS = 5;
    double BONUS2 = 3;
    while (true) {
      bool any = false;
      for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) if (can[i][j]) any = true;
      if (!any) break;
      iota(c.begin(), c.end(), 0);
      avail.assign(n, true);
      iota(order.begin(), order.end(), 0);
      while (true) {
        shuffle(order.begin(), order.end(), rng);
        cands.clear();
        for (int ii = 0; ii < n; ++ii) {
          int i = order[ii];
          if (!avail[i]) continue;
          for (int jj = ii + 1; jj < n; ++jj) {
            int j = order[jj];
            if (!avail[j] || d[i][j] != 1) continue;
            double score = 0;
            if (can[i][j]) score += BONUS * scores[1];
            for (int k = 0; k < n; ++k) if (k != i && k != j) {
              if (can[i][k] && !can[j][k]) score -= scores[d[i][k]] - scores[d[j][k]];
              if (can[j][k] && !can[i][k]) score -= scores[d[j][k]] - scores[d[i][k]];
            }
            cands.emplace_back(-score, i, j);
          }
          {
            bool ok = true;
            double score = 0;
            int cnt_in = 0;
            int cnt_out = 0;
            for (int j1 = 0; j1 < n; ++j1) if (d[i][j1] == 1) {
              if (!avail[j1]) { ok = false; break; }
              if (can[i][j1]) ++cnt_in; else ++cnt_out;
              for (int j2 = j1 + 1; j2 < n; ++j2) if (d[i][j2] == 1) {
                if (d[j1][j2] == 1) { ok = false; break; }
                if (can[j1][j2]) score += BONUS2 * scores[1];
              }
            }
            if (!ok) continue;
            if (cnt_in) score -= BONUS2 * scores[1] * cnt_out;
            for (int k = 0; k < n; ++k) if (d[i][k] >= 2) {
              cnt_in = 0;
              cnt_out = 0;
              for (int j1 = 0; j1 < n; ++j1) if (d[i][j1] == 1) {
                if (can[k][j1]) ++cnt_in; else ++cnt_out;
              }
              if (cnt_in) {
                score += BONUS2 * scores[1] * (cnt_in - 1);
              }
              if (can[k][i]) {
                score -= BONUS2 * scores[1] * (cnt_out + cnt_in);
              }
            }
            cands.emplace_back(-score, i, -1);
          }
        }

        sort(cands.begin(), cands.end());
        for (auto [bs, bi, bj]: cands) {
          if (bj < 0) {
            bool ok = avail[bi];
            for (int j1 = 0; j1 < n; ++j1) if (d[bi][j1] == 1) {
              if (!avail[j1]) ok = false;
            }
            if (!ok) continue;
            //cerr << "Using spoke at " << bi << ", score = " << bs << "\n";
            avail[bi] = false;
            bool h = false;
            for (int j1 = 0; j1 < n; ++j1) if (d[bi][j1] == 1) {
              avail[j1] = false;
              c[j1] = c[bi];
              if (can[bi][j1]) h = true;
              for (int j2 = j1 + 1; j2 < n; ++j2) if (d[bi][j2] == 1) {
                can[j1][j2] = false;
                can[j2][j1] = false;
              }
            }
            if (h) {
              for (int j1 = 0; j1 < n; ++j1) if (d[bi][j1] == 1) {
                can[bi][j1] = true;
                can[j1][bi] = true;
              }
            }
            for (int k = 0; k < n; ++k) if (k != bi && d[bi][k] != 1) {
              bool center = can[bi][k];
              bool spoke = false;
              for (int j1 = 0; j1 < n; ++j1) if (d[bi][j1] == 1 && can[j1][k]) spoke = true;
              can[bi][k] = spoke;
              can[k][bi] = spoke;
              for (int j1 = 0; j1 < n; ++j1) if (d[bi][j1] == 1) {
                can[j1][k] = center;
                can[k][j1] = center;
              }
            }
          } else {
            if (avail[bi] && avail[bj]) {
              //cerr << "Using edge " << bi << "-" << bj << ", score = " << bs << "\n";
              if (uniform_int_distribution<int>(0, 10)(rng) == 0) continue;
              c[bi] = c[bj];
              avail[bi] = false;
              avail[bj] = false;
              can[bi][bj] = can[bj][bi] = false;
              for (int k = 0; k < n; ++k) if (k != bi && k != bj) {
                if (can[bi][k] && !can[bj][k]) {
                  can[bj][k] = true;
                  can[k][bj] = true;
                  can[bi][k] = false;
                  can[k][bi] = false;
                } else if (can[bj][k] && !can[bi][k]) {
                  can[bj][k] = false;
                  can[k][bj] = false;
                  can[bi][k] = true;
                  can[k][bi] = true;
                }
              }
            }
          }
        }
        break;
      }
      res.push_back(c);
      //for (int i = 0; i < n; ++i) {
      //  for (int j = 0; j < n; ++j) if (can[i][j]) cerr << '+'; else cerr << '-';
      //  cerr << '\n';
      //}
      //cerr << endl;
    }
    printf("%d\n", res.size());
    for (const auto& v : res) {
      for (auto x : v) printf("%d ", x);
      printf("\n");
    }
    return 0;
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:165:14: warning: format '%d' expects argument of type 'int', but argument 2 has type 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wformat=]
  165 |     printf("%d\n", res.size());
      |             ~^     ~~~~~~~~~~
      |              |             |
      |              int           std::vector<std::vector<int> >::size_type {aka long unsigned int}
      |             %ld
# 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 2 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 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 464 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 9 ms 348 KB Output is correct
8 Correct 19 ms 344 KB Output is correct
9 Correct 258 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 9 ms 492 KB Output is correct
5 Correct 104 ms 524 KB Output is correct
6 Correct 101 ms 592 KB Output is correct
7 Correct 22 ms 348 KB Output is correct
# 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 2 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 9 ms 492 KB Output is correct
10 Correct 104 ms 524 KB Output is correct
11 Correct 101 ms 592 KB Output is correct
12 Correct 22 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 460 KB Output is correct
16 Correct 2 ms 516 KB Output is correct
17 Correct 2 ms 348 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 11 ms 348 KB Output is correct
21 Correct 103 ms 596 KB Output is correct
22 Correct 104 ms 592 KB Output is correct
23 Correct 23 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 456 KB Output is correct
27 Correct 100 ms 520 KB Output is correct
28 Correct 134 ms 592 KB Output is correct
29 Correct 198 ms 592 KB Output is correct
30 Correct 5 ms 348 KB Output is correct
31 Correct 300 ms 1048 KB Output is correct
32 Correct 84 ms 592 KB Output is correct
33 Correct 111 ms 592 KB Output is correct
34 Correct 120 ms 596 KB Output is correct
35 Correct 99 ms 528 KB Output is correct
36 Correct 50 ms 348 KB Output is correct
37 Correct 7 ms 348 KB Output is correct
38 Correct 33 ms 532 KB Output is correct
39 Correct 79 ms 516 KB Output is correct
40 Correct 153 ms 508 KB Output is correct
41 Correct 302 ms 852 KB Output is correct
42 Correct 10 ms 348 KB Output is correct
43 Correct 28 ms 348 KB Output is correct
44 Correct 112 ms 596 KB Output is correct
45 Correct 95 ms 544 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 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 344 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 0 ms 348 KB Output is correct
# 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 2 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 464 KB Output is correct
11 Correct 3 ms 348 KB Output is correct
12 Correct 9 ms 348 KB Output is correct
13 Correct 19 ms 344 KB Output is correct
14 Correct 258 ms 604 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 9 ms 492 KB Output is correct
19 Correct 104 ms 524 KB Output is correct
20 Correct 101 ms 592 KB Output is correct
21 Correct 22 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 460 KB Output is correct
25 Correct 2 ms 516 KB Output is correct
26 Correct 2 ms 348 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 11 ms 348 KB Output is correct
30 Correct 103 ms 596 KB Output is correct
31 Correct 104 ms 592 KB Output is correct
32 Correct 23 ms 344 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 456 KB Output is correct
36 Correct 100 ms 520 KB Output is correct
37 Correct 134 ms 592 KB Output is correct
38 Correct 198 ms 592 KB Output is correct
39 Correct 5 ms 348 KB Output is correct
40 Correct 300 ms 1048 KB Output is correct
41 Correct 84 ms 592 KB Output is correct
42 Correct 111 ms 592 KB Output is correct
43 Correct 120 ms 596 KB Output is correct
44 Correct 99 ms 528 KB Output is correct
45 Correct 50 ms 348 KB Output is correct
46 Correct 7 ms 348 KB Output is correct
47 Correct 33 ms 532 KB Output is correct
48 Correct 79 ms 516 KB Output is correct
49 Correct 153 ms 508 KB Output is correct
50 Correct 302 ms 852 KB Output is correct
51 Correct 10 ms 348 KB Output is correct
52 Correct 28 ms 348 KB Output is correct
53 Correct 112 ms 596 KB Output is correct
54 Correct 95 ms 544 KB Output is correct
55 Correct 0 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 0 ms 348 KB Output is correct
68 Correct 0 ms 348 KB Output is correct
69 Correct 0 ms 348 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 0 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 1 ms 356 KB Output is correct
78 Correct 2 ms 348 KB Output is correct
79 Correct 2 ms 348 KB Output is correct
80 Correct 0 ms 352 KB Output is correct
81 Correct 0 ms 348 KB Output is correct
82 Correct 0 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 3 ms 348 KB Output is correct
85 Correct 9 ms 348 KB Output is correct
86 Correct 19 ms 540 KB Output is correct
87 Correct 261 ms 600 KB Output is correct
88 Correct 0 ms 348 KB Output is correct
89 Correct 0 ms 348 KB Output is correct
90 Correct 9 ms 348 KB Output is correct
91 Correct 103 ms 548 KB Output is correct
92 Correct 102 ms 532 KB Output is correct
93 Correct 22 ms 344 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 84 ms 556 KB Output is correct
98 Correct 136 ms 536 KB Output is correct
99 Correct 199 ms 596 KB Output is correct
100 Correct 4 ms 348 KB Output is correct
101 Correct 288 ms 780 KB Output is correct
102 Correct 86 ms 532 KB Output is correct
103 Correct 107 ms 516 KB Output is correct
104 Correct 118 ms 596 KB Output is correct
105 Correct 101 ms 516 KB Output is correct
106 Correct 59 ms 344 KB Output is correct
107 Correct 6 ms 452 KB Output is correct
108 Correct 33 ms 520 KB Output is correct
109 Correct 79 ms 596 KB Output is correct
110 Correct 161 ms 532 KB Output is correct
111 Correct 295 ms 848 KB Output is correct
112 Correct 8 ms 348 KB Output is correct
113 Correct 24 ms 344 KB Output is correct
114 Correct 112 ms 528 KB Output is correct
115 Correct 99 ms 772 KB Output is correct
116 Correct 0 ms 348 KB Output is correct
117 Correct 0 ms 348 KB Output is correct
118 Correct 0 ms 348 KB Output is correct
119 Correct 0 ms 348 KB Output is correct
120 Correct 0 ms 348 KB Output is correct
121 Correct 0 ms 348 KB Output is correct
122 Correct 0 ms 348 KB Output is correct
123 Correct 0 ms 348 KB Output is correct
124 Correct 0 ms 348 KB Output is correct
125 Correct 0 ms 348 KB Output is correct
126 Correct 0 ms 348 KB Output is correct
127 Correct 0 ms 348 KB Output is correct
128 Correct 0 ms 348 KB Output is correct
129 Correct 0 ms 348 KB Output is correct
130 Correct 0 ms 348 KB Output is correct
131 Correct 0 ms 348 KB Output is correct
132 Correct 0 ms 348 KB Output is correct
133 Correct 0 ms 352 KB Output is correct
134 Correct 0 ms 352 KB Output is correct
135 Correct 0 ms 348 KB Output is correct
136 Correct 0 ms 348 KB Output is correct
137 Correct 0 ms 348 KB Output is correct
138 Correct 0 ms 456 KB Output is correct
139 Correct 0 ms 348 KB Output is correct
140 Correct 181 ms 592 KB Output is correct
141 Correct 0 ms 348 KB Output is correct
142 Correct 258 ms 752 KB Output is correct
143 Correct 269 ms 604 KB Output is correct
144 Correct 272 ms 744 KB Output is correct
145 Correct 256 ms 636 KB Output is correct
146 Correct 178 ms 564 KB Output is correct
147 Correct 122 ms 528 KB Output is correct
148 Correct 253 ms 604 KB Output is correct
149 Correct 361 ms 852 KB Output is correct
150 Correct 197 ms 580 KB Output is correct
151 Correct 138 ms 568 KB Output is correct
152 Correct 105 ms 600 KB Output is correct
153 Correct 154 ms 532 KB Output is correct
154 Correct 6 ms 600 KB Output is correct
155 Partially correct 511 ms 2360 KB Partially correct
156 Correct 69 ms 844 KB Output is correct
157 Partially correct 2481 ms 3820 KB Partially correct
158 Correct 205 ms 596 KB Output is correct
159 Correct 133 ms 592 KB Output is correct
160 Correct 94 ms 596 KB Output is correct
161 Partially correct 111 ms 1108 KB Partially correct
162 Correct 0 ms 348 KB Output is correct
163 Correct 0 ms 452 KB Output is correct
164 Correct 0 ms 348 KB Output is correct
165 Correct 0 ms 348 KB Output is correct