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Aug 10th, 2020
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  1. #include <iostream>
  2. #include <vector>
  3. #include <string>
  4. using namespace std;
  5. vector < pair<int,int> > sums; //to store all possible sums with how many letter they took
  6. vector <int> letters;
  7. //function for backtracking all sums
  8. void solve(int pos, int sum, int cnt){
  9. if(pos==letters.size()-1){
  10. if(sum!=0) sums.push_back({cnt,sum});
  11. sums.push_back({cnt+1,sum+letters[pos]});
  12. }
  13. else{
  14. solve(pos+1,sum,cnt);
  15. solve(pos+1,sum+letters[pos],cnt+1);
  16. }
  17. }
  18. int main(){
  19. string x;
  20. cin>>x;
  21. int p;
  22. cin>>p;
  23. for(int i=0 ; i<x.size() ; i++){
  24. letters.push_back(x[i]);
  25. }
  26. solve(0,0,0);
  27. long long ans=0;
  28. for(int i=0 ; i<sums.size() ; i++){
  29. if(sums[i].second%p==0){
  30. long long y=1;
  31. for(int j=1 ; j<=sums[i].first ; j++){
  32. y=(y*j)%(1000000007);
  33. }
  34. ans=(ans+y)%(1000000007);
  35. }
  36. }
  37. cout<<ans<<endl;
  38. return 0;
  39. }
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