Problem:
Score : 500 points

Problem Statement

We have a grid with H horizontal rows and W vertical columns. Let (i,j) denote the square at the i-th row from the top and the j-th column from the left.

The square (i, j) has two numbers A_{ij} and B_{ij} written on it.

First, for each square, Takahashi paints one of the written numbers red and the other blue.

Then, he travels from the square (1, 1) to the square (H, W). In one move, he can move from a square (i, j) to the square (i+1, j) or the square (i, j+1). He must not leave the grid.

Let the unbalancedness be the absolute difference of the sum of red numbers and the sum of blue numbers written on the squares along Takahashi's path, including the squares (1, 1) and (H, W).

Takahashi wants to make the unbalancedness as small as possible by appropriately painting the grid and traveling on it.

Find the minimum unbalancedness possible.

Constraints

2 \leq H \leq 80

2 \leq W \leq 80

0 \leq A_{ij} \leq 80

0 \leq B_{ij} \leq 80

All values in input are integers.

Input

Input is given from Standard Input in the following format:

H W
A_{11} A_{12} \ldots A_{1W}
:
A_{H1} A_{H2} \ldots A_{HW}
B_{11} B_{12} \ldots B_{1W}
:
B_{H1} B_{H2} \ldots B_{HW}

Output

Print the minimum unbalancedness possible.

Sample Input 1

2 2
1 2
3 4
3 4
2 1

Sample Output 1

0

By painting the grid and traveling on it as shown in the figure below, the sum of red numbers and the sum of blue numbers are 3+3+1=7 and 1+2+4=7, respectively, for the unbalancedness of 0.

Sample Input 2

2 3
1 10 80
80 10 1
1 2 3
4 5 6

Sample Output 2

2

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Runtime Error)

import java.io.*;
import java.io.IOException;
import java.util.*;

@SuppressWarnings({"rawtypes", "unchecked"})
class Main {
    final static int INF = 1 << 28;
    final static long LNF = 1L << 60;
    final static double EPS = 1e-9;
    final static double GOLDEN_RATIO = (1.0 + Math.sqrt(5)) / 2.0;

    static final long MOD = 1_000_000_007;

    public static void main(String[] args) throws Exception {
        final MyScanner sc = new MyScanner();
        int H;
        H = sc.nextInt();
        int W;
        W = sc.nextInt();
        int[][] A = new int[(int)(H)][(int)(W)];
        for(int i = 0 ; i < H ; i++){
                for(int j = 0 ; j < W ; j++){
                    A[i][j] = sc.nextInt();
                }
        }
        int[][] B = new int[(int)(H)][(int)(W)];
        for(int i = 0 ; i < H ; i++){
                for(int j = 0 ; j < W ; j++){
                    B[i][j] = sc.nextInt();
                }
        }
        solve(H, W, A, B);
    }

    static void solve(int H, int W, int[][] A, int[][] B){
        int[][] diff = new int[H][W];

        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                diff[i][j] = Math.abs(A[i][j] - B[i][j]);
            }
        }

        int depth = 1000 * H * W;
        int[][][] dp = new int[H][W][depth];
        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                Arrays.fill(dp[i][j], 0);
            }
        }

        for (int i = 0; i < H; i++) {
            for (int j = 0; j < W; j++) {
                if(i == 0 && j == 0) dp[i][j][diff[i][j]] = 1;
                else {
                    if(i != 0) {
                        for (int k = 0; k < depth; k++) {
                            if(dp[i-1][j][k] != 0) {
                                dp[i][j][Math.abs(k-diff[i][j])] = 1;
                                dp[i][j][k+diff[i][j]] = 1;
                            }
                        }
                    }
                    if(j != 0) {
                        for (int k = 0; k < depth; k++) {
                            if(dp[i][j-1][k] != 0) {
                                dp[i][j][Math.abs(k-diff[i][j])] = 1;
                                dp[i][j][k+diff[i][j]] = 1;
                            }
                        }
                    }
                }
            }
        }
        int ans = INF;
        for (int i = 0; i < depth; i++) {
            if(dp[H-1][W-1][i] != 0) ans = Math.min(ans, i);
        }

        System.out.println(ans);
    }


    static class MyScanner {
 
        BufferedReader br;
        StringTokenizer st;
 
        MyScanner(FileReader fileReader) {
            br = new BufferedReader(fileReader);
        }
 
        MyScanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }
 
        String nn() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }
 
        String next() {
            String ans = "";
            try {
                ans = br.readLine();
            } catch (IOException ex) {
                ex.printStackTrace();
            }
            return ans;
        }
 
        char nextChar() {
            return nn().charAt(0);
        }
 
        int nextInt() {
            return Integer.parseInt(nn());
        }
 
        long nextLong() {
            return Long.parseLong(nn());
        }
 
        double nextDouble() {
            return Double.parseDouble(nn());
        }
 
        Integer[] niArr0(int n) {
            Integer[] ar = new Integer[n];
            for (int i = 0; i < n; i++) {
                ar[i] = nextInt();
            }
            return ar;
        }
 
        Integer[] niArr1(int n) {
            Integer[] ar = new Integer[n + 1];
            for (int i = 1; i <= n; i++) {
                ar[i] = nextInt();
            }
            return ar;
        }
 
        Long[] nlArr0(int n) {
            Long[] ar = new Long[n];
            for (int i = 0; i < n; i++) {
                ar[i] = nextLong();
            }
            return ar;
        }
 
        Long[] nlArr1(int n) {
            Long[] ar = new Long[n + 1];
            for (int i = 1; i <= n; i++) {
                ar[i] = nextLong();
            }
            return ar;
        }
    }

}