#include<iostream>
#include<cstring>
using namespace std;
int n,m,k,li,ci;
double nrt,nrf;
char x[25][25];
int y[25][25],i1,i2,j1,j2,a[25][25];
pair<int,int>z[25][25];
int dl[4]={0,0,1,-1};
int dc[4]={1,-1,0,0};
void ve(int l,int c,int trans)
{
    int p=0;
    if(trans==0&&y[l][c]==1)
    {
        l=z[l][c].first;
        c=z[l][c].second;
        trans=1;
    }
    if(x[l][c]=='%')
    {
        nrf++;
        nrt++;
        return;
    }
    if(x[l][c]=='*')
    {
        nrt++;
        return;
    }
        for(int j=0;j<4;j++)
        {
            if(l+dl[j]<=n&&l+dl[j]>=1&&c+dc[j]<=m&&c+dc[j]>=1&&x[l+dl[j]][c+dc[j]]!='#'&&a[l+dl[j]][c+dc[j]]==0)
            {
                a[l+dl[j]][c+dc[j]]=1;
                if(y[l+dl[j]][c+dc[j]]==1)
                {
                    int la=l+dl[j];
                    int ca=c+dc[j];
                    a[z[la][ca].first][z[la][ca].second]=1;
                }
                ve(l+dl[j],c+dc[j],trans);
                p=1;
                a[l+dl[j]][c+dc[j]]=0;
                if(y[l+dl[j]][c+dc[j]]==1)
                {
                    int la=l+dl[j];
                    int ca=c+dc[j];
                    a[z[la][ca].first][z[la][ca].second]=0;
                }
            }
        }
    if(p==0)
    {
        nrt++;
        return;
    }

}
int main()
{
    cin>>n>>m>>k;
    for(int i=1;i<=n;i++)
        for(int j=1;j<=m;j++)
        {
            cin>>x[i][j];
            if(x[i][j]=='A')
            {
                li=i;
                ci=j;
            }
        }
    a[li][ci]=1;
    for(int i=1;i<=k;i++)
    {
        cin>>i1>>j1>>i2>>j2;
        y[i1][j1]=1;
        y[i2][j2]=1;
        z[i1][j1].first=i2;
        z[i1][j1].second=j2;
        z[i2][j2].first=i1;
        z[i2][j2].second=j1;
    }
    ve(li,ci,0);
    cout<<nrf/nrt;
}