sacgajcvs

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Sep 5th, 2019
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  1. /*
  2. _____ _ _ _ _
  3. |_ _| |__ ___ / \ _ __ ___| |__ _ _| |
  4. | | | '_ \ / _ \ / _ \ | '_ \/ __| '_ \| | | | |
  5. | | | | | | __// ___ \| | | \__ \ | | | |_| | |
  6. |_| |_| |_|\___/_/ \_\_| |_|___/_| |_|\__,_|_|
  7.  
  8. */
  9. #include<bits/stdc++.h>
  10. #define ll long long
  11. #define pb push_back
  12. #define ppb pop_back
  13. #define endl '\n'
  14. #define mii map<ll int,ll int>
  15. #define msi map<string,ll int>
  16. #define mis map<ll int, string>
  17. #define rep(i,a,b) for(ll int i=a;i<b;i++)
  18. #define mpi map<pair<ll int,ll int>,ll int>
  19. #define pii pair<ll int,ll int>
  20. #define vi vector<ll int>
  21. #define vii vector<pair<ll int, ll int>>
  22. #define vs vector<string>
  23. #define all(a) (a).begin(),(a).end()
  24. #define F first
  25. #define S second
  26. #define sz(x) (ll int)x.size()
  27. #define hell 1000000007
  28. #define lbnd lower_bound
  29. #define ubnd upper_bound
  30. #define bs binary_search
  31. #define mp make_pair
  32. #define what_is(x) cerr << #x << " is " << x << endl;
  33. #define time cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
  34. using namespace std;
  35. #define N 1005
  36. ll dp[N][N];
  37. ll n,p;
  38.  
  39. ll fun(ll i,ll j)
  40. {
  41. if(i==1)
  42. {
  43. if(j==1)
  44. return 1;
  45. else
  46. return 0;
  47. }
  48. if((p+1)*j<p*i || i<j)
  49. return 0;
  50. if(dp[i][j]!=-1)
  51. return dp[i][j];
  52. dp[i][j]=(fun(i-1,j)+fun(i-1,j-1))%hell;
  53. return dp[i][j];
  54. }
  55.  
  56. void solve()
  57. {
  58. cin>>n>>p;
  59. rep(i,0,n+1)
  60. {
  61. rep(j,0,n+1)
  62. dp[i][j]=-1;
  63. }
  64. ll ans=0;
  65. rep(i,0,n+1)
  66. {
  67. ans=(ans+fun(n,n-i))%hell;
  68. }
  69. cout<<ans<<endl;
  70. return;
  71. }
  72. int main()
  73. {
  74. ios_base::sync_with_stdio(false);
  75. cin.tie(0);
  76. cout.tie(0);
  77. int TESTS=1;
  78. cin>>TESTS;
  79. while(TESTS--)
  80. {
  81. solve();
  82. }
  83. time
  84. return 0;
  85. }
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