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 C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using static Input;
using NX = System.Int64;
public class Prog
{
    public static void Solve()
    {
        int H = NextInt(), W = NextInt();
        List<int[]> A = Enumerable.Range(0, H).Select(v => LineInt()).ToList();
        List<int[]> B = Enumerable.Range(0, H).Select(v => LineInt()).ToList();
        List<int[]> C = Enumerable.Range(0, H).Select(v => new int[W]).ToList();
        for (int i = 0; i < H; i++)
            for (int j = 0; j < W; j++) C[i][j] = Math.Abs(A[i][j] - B[i][j]);

        bool[,,] dp = new bool[H, W, 13000];
        for (int i = 0; i < H; i++)
            for (int j = 0; j < W; j++)
                for (int k = 0; k < 13000; k++) dp[i, j, k] = false;
        dp[0, 0, C[0][0]] = true;
        Queue<Tuple<int, int>> Q = new Queue<Tuple<int, int>>();
        for (int i = 0; i < 159; i++)
        {
            //i : 手数
            for (int y = 0; y < 80; y++)
            {
                int x = i - y;
                if (x < 0) break;
                Q.Enqueue(new Tuple<int, int>(y, x));
            }
        }
        while (Q.Count() != 0)
        {
            //現状態から周り見る感じで
            var xy = Q.Dequeue();
            int x = xy.Item1, y = xy.Item2;
            if (x < 0 || W <= x || y < 0 || H <= y) continue;
            //x-1 or y-1 の状態から加算減算から考える
            for (int i = 0; i < 13000; i++)
            {
                if (y != 0 && dp[y - 1, x, i])
                {
                    dp[y, x, i + C[y][x]] = true;
                    dp[y, x, Math.Abs(i - C[y][x])] = true;
                }
                if (x != 0 && dp[y, x - 1, i])
                {
                    dp[y, x, i + C[y][x]] = true;
                    dp[y, x, Math.Abs(i - C[y][x])] = true;
                }
            }
        }
        int ans = INF;
        for (int i = 0; i < 13000; i++)
            if (dp[H - 1, W - 1, i]) { ans = i; break; }
        Console.WriteLine(ans);

    }
    public static void Main()
    {
        var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);
        Solve();
        Console.Out.Flush();
        return;
    }
}
public class Input
{
    public const long MOD = 1000000007;
    public const int INF = 1000000007;
    private static Queue<string> q = new Queue<string>();
    private static void Confirm() { if (q.Count == 0) foreach (var s in Console.ReadLine().Split(' ')) q.Enqueue(s); }
    public static int NextInt() { Confirm(); return int.Parse(q.Dequeue()); }
    public static long NextLong() { Confirm(); return long.Parse(q.Dequeue()); }
    public static string NextString() { Confirm(); return q.Dequeue(); }
    public static double NextDouble() { Confirm(); return double.Parse(q.Dequeue()); }
    public static int[] LineInt() { return Console.ReadLine().Split(' ').Select(int.Parse).ToArray(); }
    public static long[] LineLong() { return Console.ReadLine().Split(' ').Select(long.Parse).ToArray(); }
    public static string[] LineString() { return Console.ReadLine().Split(' ').ToArray(); }
    public static double[] LineDouble() { return Console.ReadLine().Split(' ').Select(double.Parse).ToArray(); }
    public long Abs(long a, long b) => Math.Abs(a - b);
}