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Dec 15th, 2017
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  1. #include <bits/stdc++.h>
  2.  
  3. #define pb push_back
  4. #define S second
  5. #define F first
  6.  
  7. using namespace std;
  8.  
  9. const int MOD = 1e9;
  10.  
  11.  
  12. vector<int> a;
  13. int dp [2005][2005];
  14.  
  15. int fans(int l, int r)
  16. {
  17. //cerr << l <<' '<< r << endl;
  18. if (l > r)
  19. return 0;
  20. int cran = 0;
  21. int fans1 = 0;
  22. int fans2 = 0;
  23. if (l == r)
  24. return dp[l][r] = 1;
  25. if (dp[l + 1][r - 1] == 0)
  26. cran = fans(l + 1, r - 1);
  27. else
  28. cran = dp[l + 1][r - 1];
  29. int dubalar = 0;
  30. if (dp[l + 1][r] == 0)
  31. fans1 = fans(l + 1, r);
  32. else
  33. fans1 = dp[l + 1][r];
  34. if (dp[l][r - 1] == 0)
  35. fans2 = fans(l, r - 1);
  36. else
  37. fans2 = dp[l][r - 1];
  38. if (a[l] == a[r])
  39. dubalar = (cran + 1) % MOD;
  40.  
  41. return dp[l][r] = (((fans1 + fans2) % MOD - cran + MOD) % MOD + dubalar) % MOD;
  42. }
  43.  
  44. int main() {
  45. // freopen("matching.in", "r", stdin);
  46. //freopen("matching.out", "w", stdout);
  47. int n;
  48. cin >> n;
  49. for (int i = 0; i < n; i++)
  50. for (int j = 0; j < n; j++)
  51. dp[i][j] = 0;
  52. a.resize(n);
  53. for (int i = 0; i < n; i++)
  54. cin >> a[i];
  55. fans(0, n - 1);
  56. cout << dp[0][n - 1] << endl;
  57. /* for (int i = 0; i < n; i++) {
  58. for (int j = 0; j < n; j++)
  59. cout << dp[i][j] << ' ';
  60.  
  61. cout << endl;
  62. }*/
  63. }
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