#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
const int N = 110;

ll T;
int n, m, lim, len[N], act, now[10][10];
char s[10][10], t[10][10];

struct mat {
    ll a[65][65];
    mat() {memset(a, 0, sizeof(a));}
    mat operator * (mat &x) {
        mat ans;
        for(int i = 0; i <= lim; ++i) 
            for(int j = 0; j <= lim; ++j) 
                for(int k = 0; k <= lim; ++k) 
                    ans.a[i][j] += a[i][k] * x.a[k][j];
        return ans;
    }
    mat Pow(ll t, mat a) {
        mat ans; ans.a[0][0] = 1;
        while(t) {
            if(t & 1) ans = ans * a;
            a = a * a; t >>= 1;
        }
        return ans;
    }
}c[61], C;

int idx(int x, int y) {return (x - 1) * m + y;}

void print(mat x, bool flag) {
    puts("#####################");
    if(flag) {
        for(int i = 0; i <= lim; ++i) printf("%lld ", x.a[0][i]);
        puts("");
        return;
    }
    for(int i = 0; i <= lim; ++i) {
        printf("%d: ", i);
        for(int j = 0; j <= lim; ++j) {
            printf("%lld ", x.a[i][j]);
        }
        puts("");
    }
    puts("#####################");
}

int main() {
    scanf("%d%d%lld%d", &n, &m, &T, &act);
    lim = n * m;
    for(int i = 1; i <= n; ++i) {
        scanf("%s", t[i] + 1);
        for(int j = 1; j <= m; ++j) t[i][j] -= '0', ++t[i][j];
    }
    for(int i = 1; i <= act; ++i) {
        scanf("%s", s[i] + 1);
        len[i] = strlen(s[i] + 1);
    }
    for(int pos = 1; pos <= 60; ++pos) {
        c[pos].a[0][0] = 1;
        for(int i = 1; i <= n; ++i) {
            for(int j = 1; j <= m; ++j) {
//              putchar(s[t[i][j]][now[i][j]]);
                now[i][j] = (now[i][j] % len[t[i][j]]) + 1;
                if(s[t[i][j]][now[i][j]] >= '0' && s[t[i][j]][now[i][j]] <= '9') {
                    c[pos].a[0][idx(i, j)] = s[t[i][j]][now[i][j]] - '0';
                    c[pos].a[idx(i, j)][idx(i, j)] = 1;
                } else {
                    if(s[t[i][j]][now[i][j]] == 'D') c[pos].a[idx(i, j)][idx(i, j)] = 0;
                    if(i > 1 && s[t[i][j]][now[i][j]] == 'N') 
                        c[pos].a[idx(i, j)][idx(i - 1, j)] = 1;
                    if(i < n && s[t[i][j]][now[i][j]] == 'S') 
                        c[pos].a[idx(i, j)][idx(i + 1, j)] = 1;
                    if(j > 1 && s[t[i][j]][now[i][j]] == 'W') 
                        c[pos].a[idx(i, j)][idx(i, j - 1)] = 1;
                    if(j < m && s[t[i][j]][now[i][j]] == 'E') 
                        c[pos].a[idx(i, j)][idx(i, j + 1)] = 1;
                }
            }
        }
//        puts("");
    }
    C = c[1];
    for(int pos = 2; pos <= 60; ++pos) C = C * c[pos];
    C = C.Pow(T / 60, C);
    for(int pos = 1; pos <= T % 60; ++pos) {
//        printf("Round # %d\n", pos);
        C = C * c[pos];
//        print(c[pos], 0);
//        printf("The test # %d\n", pos);
//        print(C, 1);
    }
    ll ans = 0;
    for(int i = 1; i <= lim; ++i) ans = max(ans, C.a[0][i]);
    printf("%lld\n", ans);
    return 0;
}