import java.io.*;
import java.util.*;
import java.util.stream.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        long k = sc.nextLong();
        int count = 0;
        for (int i = 0; i < n * 2; i++) {
            for (char c : sc.next().toCharArray()) {
                if (c == '#') {
                    count++;
                }
            }
        }
        int[] syms = new int[n * n * 2];
        PriorityQueue<Integer> queue = new PriorityQueue<>();
        for (int i = 0; i < 2 * n; i++) {
            for (int j = 0; j < 2 * n; j++) {
                int x = sc.nextInt();
                queue.add(-x);
                if (j >= n) {
                    syms[i * n + 2 * n - j - 1] -= x;
                } else {
                    syms[i * n + j] -= x;
                }
            } 
        }
        long ans = 0;
        for (int i = 0; i < count; i++) {
            ans -= queue.poll();
        }
        if (count % 2 == 0) {
            long sum = 0;
            Arrays.sort(syms);
            for (int i = 0; i < count / 2; i++) {
                sum -= syms[i];
            }
            ans = Math.max(ans, sum + k);
        }
        System.out.println(ans);
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}