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  1. #include <ctime>
  2. #include <random>
  3. #include <vector>
  4. #include <iostream>
  5. #include <algorithm>
  6. using namespace std;
  7. const int inf = 1012345678;
  8. const double TLE = 1.0;
  9. mt19937 mt(1903312138);
  10. unsigned curseed = 1903312138;
  11. inline unsigned xorshift() {
  12. curseed ^= (curseed << 13);
  13. curseed ^= (curseed >> 17);
  14. curseed ^= (curseed << 5);
  15. return curseed;
  16. }
  17. int rand_rng(int l, int r) {
  18. return l + xorshift() % (r - l);
  19. }
  20. int B[309][309], S[309][309]; double cost[309][309], dp[309][309], randomval[309][309];
  21. int main() {
  22. cin.tie(0);
  23. ios_base::sync_with_stdio(false);
  24. int T, N, K1, K2;
  25. cin >> T >> N >> K1 >> K2;
  26. int X = N * N;
  27. for (int i = 0; i < N; ++i) {
  28. for (int j = 0; j < N; ++j) {
  29. B[i][j] = rand() % 2; //cin >> B[i][j];
  30. X -= B[i][j];
  31. }
  32. }
  33. for (int i = 0; i < N; ++i) {
  34. for (int j = 0; j < N; ++j) {
  35. S[i][j + 1] = S[i][j] + B[i][j];
  36. }
  37. }
  38. int score = inf;
  39. vector<int> optseq;
  40. while (clock() < CLOCKS_PER_SEC * TLE * 0.5) {
  41. double l = 0, r = 1;
  42. vector<int> lastseq;
  43. int lastsum = inf;
  44. uniform_real_distribution<double> plim(0, 1);
  45. uniform_real_distribution<double> px(0, pow(plim(mt), 6) * N);
  46. for (int i = 0; i < N; ++i) {
  47. for (int j = 0; j <= N; ++j) {
  48. randomval[i][j] = px(mt);
  49. }
  50. }
  51. for (int rep = 0; rep < 40; ++rep) {
  52. double m = (l + r) * 0.5;
  53. for (int i = 0; i < N; ++i) {
  54. for (int j = 0; j <= N; ++j) {
  55. cost[i][j] = S[i][j] * m + 1LL * ((N - j) - (S[i][N] - S[i][j])) * (1 - m) + randomval[i][j];
  56. }
  57. }
  58. for (int i = N - 1; i >= 0; --i) {
  59. for (int j = 0; j < N; ++j) {
  60. dp[i][j] = dp[i + 1][j] + cost[i][j];
  61. if (j >= 1) dp[i][j] = min(dp[i][j], dp[i][j - 1]);
  62. }
  63. }
  64. vector<int> seq(N);
  65. int cur = N;
  66. int sum = 0;
  67. for (int i = 0; i < N; ++i) {
  68. vector<int> cand;
  69. for (int j = 0; j <= cur; ++j) {
  70. if (abs(dp[i][j] - cost[i][j] - dp[i + 1][j]) <= 1.0e-9) {
  71. cand.push_back(j);
  72. }
  73. }
  74. cur = cand.back();
  75. seq[i] = cur;
  76. sum += seq[i];
  77. }
  78. if (abs(lastsum - X) > abs(sum - X)) {
  79. lastseq = seq;
  80. lastsum = sum;
  81. }
  82. if (sum < X) r = m;
  83. else l = m;
  84. }
  85. while (lastsum != X) {
  86. if (lastsum < X) {
  87. vector<int> cand;
  88. for (int i = 0; i < N; ++i) {
  89. if (lastseq[i] != (i == 0 ? N : lastseq[i - 1])) {
  90. cand.push_back(i);
  91. }
  92. }
  93. ++lastseq[cand[rand_rng(0, cand.size())]];
  94. ++lastsum;
  95. }
  96. if (lastsum > X) {
  97. vector<int> cand;
  98. for (int i = 0; i < N; ++i) {
  99. if (lastseq[i] != (i == N - 1 ? 0 : lastseq[i + 1])) {
  100. cand.push_back(i);
  101. }
  102. }
  103. --lastseq[cand[rand_rng(0, cand.size())]];
  104. --lastsum;
  105. }
  106. for (int i = 0; i < N; ++i) {
  107. if (lastsum < X) {
  108. while (lastseq[i] != (i == 0 ? N : lastseq[i - 1]) && B[i][lastseq[i]] == 0) ++lastseq[i], ++lastsum;
  109. }
  110. if (lastsum > X) {
  111. if (i <= N - 2 && lastseq[i] == lastseq[i + 1]) continue;
  112. while (lastseq[i] != (i == N - 1 ? 0 : lastseq[i + 1]) && B[i][lastseq[i] - 1] == 0) --lastseq[i], --lastsum;
  113. }
  114. }
  115. }
  116. int curscore = 0;
  117. for (int i = 0; i < N; ++i) {
  118. curscore += S[i][lastseq[i]];
  119. }
  120. if (score > curscore) {
  121. score = curscore;
  122. optseq = lastseq;
  123. }
  124. }
  125. cerr << "Score for initial solution: " << score << endl;
  126. int rscore = score;
  127. vector<int> roptseq = optseq;
  128. for (int i = 0; ; ++i) {
  129. if (i % 100 == 0 && clock() > CLOCKS_PER_SEC * TLE * 0.98) break;
  130. int steps = rand_rng(1, 15);
  131. vector<int> oldseq = optseq;
  132. int nxtscore = score;
  133. for (int j = 0; j < steps; ++j) {
  134. while (true) {
  135. int k = rand_rng(0, N);
  136. if (optseq[k] != N && (k == 0 || optseq[k] < optseq[k - 1])) {
  137. nxtscore += B[k][optseq[k]];
  138. ++optseq[k];
  139. break;
  140. }
  141. }
  142. while (true) {
  143. int k = rand_rng(0, N);
  144. if (optseq[k] != 0 && (k == N - 1 || optseq[k] > optseq[k + 1])) {
  145. --optseq[k];
  146. nxtscore -= B[k][optseq[k]];
  147. break;
  148. }
  149. }
  150. }
  151. if (rscore > nxtscore) {
  152. rscore = score;
  153. roptseq = optseq;
  154. }
  155. if (score >= nxtscore || (nxtscore - score <= 1 && rand_rng(0, 2) == 0)) {
  156. score = nxtscore;
  157. }
  158. else {
  159. optseq = oldseq;
  160. }
  161. }
  162. cerr << "Score for final solution: " << rscore << endl;
  163. for (int i = 0; i < N; ++i) {
  164. for (int j = 0; j < N; ++j) {
  165. if (j) cout << ' ';
  166. cout << (j < roptseq[i] ? 0 : 1);
  167. }
  168. cout << '\n';
  169. }
  170. return 0;
  171. }
Success #stdin #stdout #stderr 0.97s 18232KB
stdin
-1 100 -1 -1
stdout
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0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
stderr
Score for initial solution: 2462
Score for final solution: 2449