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  1. #include <iostream>
  2. #include <string>
  3. #include <ctime>
  4. #include <random>
  5. #include <algorithm> // std::min
  6.  
  7. using namespace std;
  8.  
  9. const int MAX_N = 5000;
  10.  
  11. int seg[2 * MAX_N];
  12. int segsL[MAX_N][2 * MAX_N];
  13. int m[MAX_N][MAX_N][2];
  14. int dp[MAX_N][MAX_N];
  15. int best;
  16.  
  17. // Adapted from https://c...content-available-to-author-only...s.com/blog/entry/18051
  18. void update(int n, int p, int value) { // set value at position p
  19. for (seg[p += n] = value; p > 1; p >>= 1)
  20. seg[p >> 1] = seg[p] + seg[p ^ 1];
  21. }
  22. // Adapted from https://c...content-available-to-author-only...s.com/blog/entry/18051
  23. int query(int n, int l, int r) { // sum on interval [l, r)
  24. int res = 0;
  25. for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
  26. if (l & 1) res += seg[l++];
  27. if (r & 1) res += seg[--r];
  28. }
  29. return res;
  30. }
  31. // Adapted from https://c...content-available-to-author-only...s.com/blog/entry/18051
  32. void updateL(int n, int i, int p, int value) { // set value at position p
  33. for (segsL[i][p += n] = value; p > 1; p >>= 1)
  34. segsL[i][p >> 1] = segsL[i][p] + segsL[i][p ^ 1];
  35. }
  36. // Adapted from https://c...content-available-to-author-only...s.com/blog/entry/18051
  37. int queryL(int n, int i, int l, int r) { // sum on interval [l, r)
  38. int res = 0;
  39. for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
  40. if (l & 1) res += segsL[i][l++];
  41. if (r & 1) res += segsL[i][--r];
  42. }
  43. return res;
  44. }
  45.  
  46. // Code by גלעד ברקן
  47. void precalc(int n, string & s) {
  48. int i, j;
  49. for (i = 0; i < n; i++) {
  50. for (j = 0; j < n; j++) {
  51. // [longest match left, longest match right]
  52. m[i][j][0] = (s[i] == s[j]) & 1;
  53. m[i][j][1] = (s[i] == s[j]) & 1;
  54. }
  55. }
  56.  
  57. for (i = n - 2; i >= 0; i--)
  58. for (j = n - 2; j >= 0; j--)
  59. m[i][j][1] = s[i] == s[j] ? 1 + m[i + 1][j + 1][1] : 0;
  60.  
  61. for (i = 1; i < n; i++)
  62. for (j = 1; j < n; j++)
  63. m[i][j][0] = s[i] == s[j] ? 1 + m[i - 1][j - 1][0] : 0;
  64. }
  65.  
  66. // Code by גלעד ברקן
  67. void f(int n, string & s) {
  68. int i, j, k, longest;
  69.  
  70. dp[0][n - 1] = 1;
  71. update(n, n - 1, 1);
  72. updateL(n, n - 1, 0, 1);
  73.  
  74. // Right side initialisation
  75. for (j = n - 2; j >= 0; j--) {
  76. if (s[0] == s[j + 1]) {
  77. longest = std::min(j + 1, m[0][j + 1][1]);
  78. for (k = j + 1; k <= j + longest; k++)
  79. dp[0][j] |= dp[0][k];
  80. if (dp[0][j]) {
  81. update(n, j, 1);
  82. updateL(n, j, 0, 1);
  83. best = std::min(best, j + 1);
  84. }
  85. }
  86. }
  87.  
  88. // Left side initialisation
  89. for (i = 1; i < n; i++) {
  90. if (s[i - 1] == s[n - 1]) {
  91. // We are bound by the current range
  92. longest = std::min(n - i, m[i - 1][n - 1][0]);
  93. for (k = i - 1; k >= i - longest; k--)
  94. dp[i][n - 1] |= dp[k][n - 1];
  95. if (dp[i][n - 1]) {
  96. updateL(n, n - 1, i, 1);
  97. best = std::min(best, n - i);
  98. }
  99. }
  100. }
  101.  
  102. for (i = 1; i <= n - 2; i++) {
  103. for (int ii = 0; ii < MAX_N; ii++) {
  104. seg[ii * 2] = 0;
  105. seg[ii * 2 + 1] = 0;
  106. }
  107. update(n, n - 1, dp[i][n - 1]);
  108. for (j = n - 2; j >= i; j--) {
  109. // We removed on the right
  110. if (s[i] == s[j + 1]) {
  111. // We are bound by half the current range
  112. longest = std::min(j - i + 1, m[i][j + 1][1]);
  113. //for (k=j+1; k<=j+longest; k++)
  114. //dp[i][j] |= dp[i][k];
  115. if (query(n, j + 1, j + longest + 1)) {
  116. dp[i][j] = 1;
  117. update(n, j, 1);
  118. updateL(n, j, i, 1);
  119. }
  120. }
  121. // We removed on the left
  122. if (s[i - 1] == s[j]) {
  123. // We are bound by half the current range
  124. longest = std::min(j - i + 1, m[i - 1][j][0]);
  125. //for (k=i-1; k>=i-longest; k--)
  126. //dp[i][j] |= dp[k][j];
  127. if (queryL(n, j, i - longest, i)) {
  128. dp[i][j] = 1;
  129. updateL(n, j, i, 1);
  130. update(n, j, 1);
  131. }
  132. }
  133. if (dp[i][j])
  134. best = std::min(best, j - i + 1);
  135. }
  136. }
  137. }
  138.  
  139. int so(string s) {
  140. for (int i = 0; i < MAX_N; i++) {
  141. seg[i * 2] = 0;
  142. seg[i * 2 + 1] = 0;
  143. for (int j = 0; j < MAX_N; j++) {
  144. segsL[i][j * 2] = 0;
  145. segsL[i][j * 2 + 1] = 0;
  146. m[i][j][0] = 0;
  147. m[i][j][1] = 0;
  148. dp[i][j] = 0;
  149. }
  150. }
  151. int n = s.length();
  152. best = n;
  153. precalc(n, s);
  154. f(n, s);
  155. return best;
  156. }
  157. // End code by גלעד ברקן
  158.  
  159. // Code by Bananon =======================================================================
  160.  
  161. int result;
  162.  
  163. int lps[MAX_N][MAX_N];
  164. bool checked[MAX_N][MAX_N];
  165.  
  166. void check(int start, int length) {
  167. checked[start][length] = true;
  168. if (length < result) {
  169. result = length;
  170. }
  171. for (int i = lps[start][length]; i != 0; i = lps[start][i - 1]) {
  172. int newLength = length - i;
  173. if (!checked[start][newLength])
  174. check(start, newLength);
  175. int newStart = start + i;
  176. if (!checked[newStart][newLength])
  177. check(newStart, newLength);
  178. }
  179. }
  180.  
  181. int my(string str) {
  182. int n = str.length();
  183. for (int l = 0; l < n; l++) {
  184. int subLength = n - l;
  185. lps[l][0] = 0;
  186. checked[l][0] = false;
  187. for (int i = 1; i < subLength; ++i) {
  188. int j = lps[l][i - 1];
  189. while (j > 0 && str[i + l] != str[j + l])
  190. j = lps[l][j - 1];
  191. if (str[i + l] == str[j + l]) j++;
  192. lps[l][i] = j;
  193. checked[l][i] = false;
  194. }
  195. }
  196. result = n - 1;
  197. check(0, n - 1);
  198. return result + 1;
  199. }
  200.  
  201. // generate =================================================================
  202.  
  203. bool rndBool() {
  204. return rand() % 2 == 0;
  205. }
  206.  
  207. int rnd(int bound) {
  208. return rand() % bound;
  209. }
  210.  
  211. void untrim(string & str) {
  212. int length = rnd(str.length());
  213. int prefixLength = rnd(str.length()) + 1;
  214. if (rndBool())
  215. str.append(str.substr(0, prefixLength));
  216. else {
  217. string newStr = str.substr(str.length() - prefixLength, prefixLength);
  218. newStr.append(str);
  219. str = newStr;
  220. }
  221. }
  222.  
  223. void rndTest(int minTestLength, string s) {
  224. while (s.length() < minTestLength)
  225. untrim(s);
  226. int myAns = my(s);
  227. int soAns = so(s);
  228. cout << myAns << " " << soAns << '\n';
  229. if (soAns != myAns) {
  230. cout << s;
  231. exit(0);
  232. }
  233. }
  234.  
  235. int main() {
  236. int minTestLength;
  237. cin >> minTestLength;
  238. string seed;
  239. cin >> seed;
  240. while (true)
  241. rndTest(minTestLength, seed);
  242. }
Time limit exceeded #stdin #stdout 5s 491896KB
stdin
7 abb
stdout
Standard output is empty