#include <math.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <assert.h>
#include <limits.h>
#include <stdbool.h>
char mat[21][21];
double count=0,reach=0;
void roam(int i,int j,int n,int m,int k,int tunnel[][4])
{
   // printf("%d %d\n",i,j);
    if(mat[i][j]=='*')
    {
        count++;
        return;
    }
    if(mat[i][j]=='%')
    {
        count++;
        reach++;
        return;
    }
    char c=mat[i][j],c1;
    mat[i][j]='#';
    int check=0,p=i,q=j,steps=0;
    for(int x=0;x<k;x++)
    {
        //printf("%d %d %d %d\n",tunnel[x][0],tunnel[x][1],tunnel[x][2],tunnel[x][3]);
        if(tunnel[x][0]==i&&tunnel[x][1]==j&&mat[tunnel[x][2]][tunnel[x][3]]!='#')
        {
            check=1;
            i=tunnel[x][2];
            j=tunnel[x][3];
            c1=mat[i][j];
            mat[i][j]='#';
            break;
        }
        else if(tunnel[x][2]==i&&tunnel[x][3]==j&&mat[tunnel[x][0]][tunnel[x][1]]!='#')
        {
            check=1;
            i=tunnel[x][0];
            j=tunnel[x][1];
            c1=mat[i][j];
            mat[i][j]='#';
            break;
        }
    }
    if(i+1<n&&mat[i+1][j]!='#')
    {
        roam(i+1,j,n,m,k,tunnel);
        steps++;
    }
    if(i-1>=0&&mat[i-1][j]!='#')
    {     
        roam(i-1,j,n,m,k,tunnel);
        steps++;
    }
    if(j-1>=0&&mat[i][j-1]!='#')
    {
        roam(i,j-1,n,m,k,tunnel);
        steps++;
    }
    if(j+1<m&&mat[i][j+1]!='#')
    {
        roam(i,j+1,n,m,k,tunnel);
        steps++;
    }
    mat[p][q]=c;
    if(check==1)
        mat[i][j]=c1;
    if(steps==0)
        count++;
}
int main() {
    int n; 
    int m; 
    int k; 
    scanf("%d%d%d",&n,&m,&k);
    for(int i=0;i<n;i++)
        scanf("%s",mat[i]);
    int start_i,start_j;
    for(int i=0;i<n;i++)
    {
        for(int j=0;j<m;j++)
        {
            if(mat[i][j]=='A')
            {
                start_i=i;
                start_j=j;
            }
        }
    }
    int tunnel[k][4];
    for(int i=0;i<k;i++)
    {
        for(int j=0;j<4;j++)
            scanf("%d",&tunnel[i][j]);
    }
    roam(start_i,start_j,n,m,k,tunnel);
    double ans=reach/count;
    printf("%lf",ans);
    // Write Your Code Here
    return 0;
}