#include<bits/stdc++.h>
typedef uint64_t u64;
typedef int64_t i64;
using namespace std;

template<typename T> void scan_(vector<T>& a){
  for(auto& v:a){
    cin>>v;
  }
}
template<typename T> void scan_(T& a){
  cin>>a;
}
void scan(){}
template<typename T,class... Args> void scan(T& n,Args&... args){
  scan_(n),scan(args...);
}
template<typename T> void println(T n){
  cout<<n<<"\n";
}
template<typename T,class... Args> void println(T n,Args... args){
  cout<<n<<" ",println(args...);
}
template<typename T> void println(vector<T> v){
  for(size_t i=0;i<v.size();++i){
    cout<<v[i]<<" \n"[i==v.size()-1];
  }
}

template<u64 mod> struct modint{
  u64 val;
  modint(i64 val_=0):val((val_%i64(mod)+i64(mod))%i64(mod)){}
  modint operator-(){
    return (val==0)?0:mod-val;
  }
  modint operator+(modint rhs){
    return modint(*this)+=rhs;
  }
  modint operator-(modint rhs){
    return modint(*this)-=rhs;
  }
  modint operator*(modint rhs){
    return modint(*this)*=rhs;
  }
  modint operator/(modint rhs){
    return modint(*this)/=rhs;
  }
  modint operator^(i64 rhs){
    return modint(*this)^=rhs;
  }
  modint &operator+=(modint rhs){
    val+=rhs.val,val-=((val>=mod)?mod:0);
    return (*this);
  }
  modint &operator-=(modint rhs){
    val+=((val<rhs.val)?mod:0),val-=rhs.val;
    return (*this);
  }
  modint &operator*=(modint rhs){
    val=val*rhs.val%mod;
    return (*this);
  }
  modint &operator/=(modint rhs){
    return (*this)*=rhs^(mod-2);
  }
  modint &operator^=(i64 rhs){
    modint res=1,now=(*this);
    while(rhs){
      res*=((rhs&1)?now:1),now*=now,rhs>>=1;
    }
    return (*this)=res;
  }
  bool operator==(modint rhs){
    return val==rhs.val;
  }
  bool operator!=(modint rhs){
    return val!=rhs.val;
  }
  friend std::ostream &operator<<(std::ostream& os,modint x){
    return os<<(x.val);
  }
  friend std::istream &operator>>(std::istream& is,modint& x){
    u64 t;
    is>>t,x=t;
    return is;
  }
};

template<typename T> struct matrix{
  vector<vector<T>> val;
  int height,width;
  matrix(int H,int W,T init=0):val(H,vector<T> (W,init)),height(H),width(W){}
  matrix(vector<vector<T>> val_):val(val_),height(val_.size()),width(val_[0].size()){}
  vector<T> &operator[](int i){
    return val[i];
  }
  matrix operator+(matrix rhs){
    return matrix(*this)+=rhs;
  }
  matrix operator*(matrix rhs){
    return matrix(*this)*=rhs;
  }
  matrix operator^(i64 rhs){
    return matrix(*this)^=rhs;
  }
  matrix operator+=(matrix rhs){
    for(int i=0;i<rhs.height;++i){
      for(int j=0;j<rhs.width;++j){
        (*this)[i][j]+=rhs[i][j];
      }
    }
    return (*this);
  }
  matrix operator*=(matrix rhs){
    matrix<T> res(height,rhs.width,0);
    for(int i=0;i<this->height;++i){
      for(int j=0;j<rhs.width;++j){
        for(int k=0;k<this->width;++k){
          res[i][j]+=(*this)[i][k]*rhs[k][j];
        }
      }
    }
    return (*this)=res;
  }
  matrix operator^=(i64 k){
    int n=(*this).height;
    matrix res=identity(n),now=(*this);
    while(k>0){
      if(k%2==1){
        res*=now;
      }
      now*=now;
      k/=2;
    }
    return (*this)=res;
  }
  matrix identity(int n){
    matrix res(n,n);
    for(int i=0;i<n;++i){
      res[i][i]=1;
    }
    return res;
  }
};

int main(){
  constexpr u64 mod=1000000007;
  typedef modint<mod> mint;
  mint A,B;
  scan(A,B);
  int N;
  scan(N);
  matrix<mint> C({{0,0,1},{1,0,0},{0,0,0}}),D(vector<vector<mint>>{{1,0,0},{0,1,0},{A,B,1}}),E(vector<vector<mint>>{{1},{1},{0}});
  for(int i=0;i<N;++i){
    i64 t;
    scan(t);
    auto F=((C*D)^(t/2));
    if(t%2==1){
      F=D*F;
    }
    F*=E;
    println(F[0][0]+F[1][0]+F[2][0]);
  }
}