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Mar 29th, 2021
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  1. #include <bits/stdc++.h>
  2.  
  3. using namespace std;
  4.  
  5. long long MOD=1000000007;
  6.  
  7. int main()
  8. {
  9. long long t,n,k,i,j;
  10. cin>>t;
  11. while(t--)
  12. {
  13. cin>>n>>k;
  14. long long dp[k+2][n+7];
  15. for(i=k+1;i>=0;i--)
  16. {
  17. for(j=1;j<=n+5;j++)
  18. {
  19. dp[i][j]=0;
  20. }
  21. }
  22. dp[k][1]=1;
  23. long long ans=0;
  24. for(i=k;i>=1;i--)
  25. {
  26. for(j=1;j<=n;j++)
  27. {
  28. dp[i][j+1]=(dp[i][j+1]%MOD+dp[i][j]%MOD)%MOD;
  29. dp[i-1][n+2-j]=(dp[i-1][n+2-j]%MOD+dp[i][j]%MOD)%MOD;
  30. }
  31. }
  32. for(i=1;i<=k;i++)
  33. {
  34. ans=(ans%MOD+dp[i][n+1]%MOD)%MOD;
  35. }
  36. cout<<ans<<"\n";
  37. }
  38.  
  39. return 0;
  40. }
  41.  
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