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MCOINS.cpp
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MCOINS.cpp
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#include <iostream>
using namespace std;
long long int k,l;
int a[1000001];
void CalcWinner ()
{
long int i;
a[0]=0;
for (i=1;i<1000001;i++)
{
a[i]=0;
if (a[i-1]==0)
a[i]=1;
if (i-k>=0)
{
if (a[i-k]==0)
a[i]=1;
}
if (i-l>=0)
{
if (a[i-l]==0)
a[i]=1;
}
}
/*for (i=0;i<1000001;i++)
{
if (a[i]==0)
{
a[i+1]=1;
if (i+1>=k)
{
if (a[i+1-k]!=0)
a[i+1]=1;
else
a[i+1]=0;
}
if (i+1>=l && a[i+1]==1)
{
if (a[i+1-l]!=0)
a[i+1]=1;
else
a[i+1]=0;
}
if (i+k>=l)
{
if (a[i+k-l]!=0)
a[i+k]=1;
else
a[i+k]=0;
}
else
a[i+k]=0;
if (i+l>=k)
{
if (a[i+l-k]!=0)
a[i+l]=1;
else
a[i+l]=0;
}
else
a[i+l]=0;
}
else
{
a[i+1]=0;
if (i+1>=k)
{
if (a[i+1-k]!=1)
a[i+1]=0;
else
a[i+1]=1;
}
if (i+1>=l && a[i+1]==0)
{
if (a[i+1-l]!=1)
a[i+1]=0;
else
a[i+1]=1;
}
if (i+k>=l)
{
if (a[i+k-l]!=0)
a[i+k]=0;
else
a[i+k]=1;
}
else
a[i+k]=1;
if (i+l>=k)
{
if (a[i+l-k]!=1)
a[i+l]=0;
else
a[i+l]=1;
}
else
a[i+l]=1;
}
}*/
}
int main()
{
int b[52];
long int n;
int m,i;
cin>>k>>l>>m;
CalcWinner ();
for (i=0;i<m;i++)
{
cin>>n;
b[i]=a[n];
}
for (i=0;i<m;i++)
{
if (b[i]==1)
cout<<"A";
else
cout<<"B";
}
cout<<endl;
}