#include <bits/stdc++.h>
using namespace std;
#define X first
#define Y second
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
string board[1005];
int canExtend[1005][1005];
int dist[10];
int area[10];
queue<tuple<int,int,int>> q[10];
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n,m,s;
cin >> n >> m >> s;
for(int i=1; i<=s; i++) cin >> dist[i];
char ch;
for(int i=0; i<n; i++) {
for(int j=0; j<m; j++) {
cin >> ch;
if(ch=='.') canExtend[i][j]=1;
else if(ch=='#') canExtend[i][j]=0;
else {
canExtend[i][j]=0;
area[ch-'0']+=1;
q[ch-'0'].push({i,j,0});
}
}
}
while(1){
int isExend=0;
for(int i=1; i<=s; i++){
queue<tuple<int,int,int>> nxt;
while(!q[i].empty()){
int x,y,moved;
tie(x,y,moved)=q[i].front(); q[i].pop();
if(moved==dist[i]) {
nxt.push({x,y,0});
continue;
}
for(int idx=0;idx<4; idx++) {
int nx=x+dx[idx];
int ny=y+dy[idx];
if(nx<0 || nx>=n || ny <0 || ny>=m) continue;
if(!canExtend[nx][ny]) continue;
q[i].push({nx,ny,moved+1});
area[i]+=1;
canExtend[nx][ny]=0;
isExend=1;
}
}
q[i]=nxt;
}
if(!isExend) break;
}
for(int i=1; i<=s; i++) {
cout << area[i] << ' ';
}
return 0;
}
/*
tie(x, y, moved) = q[i].front();
if(moved == dist[i]) break;
q[i].pop();
'
'
'
'
queue<tuple<int,int,int>> tmp;
while(!q[i].empty()){
int x,y,mm;
tie(x,y,mm)=q[i].front(); q[i].pop();
tmp.push({x,y,mm})
}
q[i]=tmp;
*/
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