Problem:
Score : 400 points

Problem Statement

We have a grid with H rows and W columns. The square at the i-th row and the j-th column will be called Square (i,j).

The integers from 1 through H×W are written throughout the grid, and the integer written in Square (i,j) is A_{i,j}.

You, a magical girl, can teleport a piece placed on Square (i,j) to Square (x,y) by consuming |x-i|+|y-j| magic points.

You now have to take Q practical tests of your ability as a magical girl.

The i-th test will be conducted as follows:

Initially, a piece is placed on the square where the integer L_i is written.

Let x be the integer written in the square occupied by the piece. Repeatedly move the piece to the square where the integer x+D is written, as long as x is not R_i. The test ends when x=R_i.

Here, it is guaranteed that R_i-L_i is a multiple of D.

For each test, find the sum of magic points consumed during that test.

Constraints

1 \leq H,W \leq 300

1 \leq D \leq H×W

1 \leq A_{i,j} \leq H×W

A_{i,j} \neq A_{x,y} ((i,j) \neq (x,y))

1 \leq Q \leq 10^5

1 \leq L_i \leq R_i \leq H×W

(R_i-L_i) is a multiple of D.

Input

Input is given from Standard Input in the following format:

H W D
A_{1,1} A_{1,2} ... A_{1,W}
:
A_{H,1} A_{H,2} ... A_{H,W}
Q
L_1 R_1
:
L_Q R_Q

Output

For each test, print the sum of magic points consumed during that test.

Output should be in the order the tests are conducted.

Sample Input 1

3 3 2
1 4 3
2 5 7
8 9 6
1
4 8

Sample Output 1

5

4 is written in Square (1,2).

6 is written in Square (3,3).

8 is written in Square (3,1).

Thus, the sum of magic points consumed during the first test is (|3-1|+|3-2|)+(|3-3|+|1-3|)=5.

Sample Input 2

4 2 3
3 7
1 4
5 2
6 8
2
2 2
2 2

Sample Output 2

0
0

Note that there may be a test where the piece is not moved at all, and there may be multiple identical tests.

Sample Input 3

5 5 4
13 25 7 15 17
16 22 20 2 9
14 11 12 1 19
10 6 23 8 18
3 21 5 24 4
3
13 13
2 10
13 13

Sample Output 3

0
5
0

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

using System;

class MainClass
{
    public static void Main(string[] args)
    {
        bool boo = false;
        string[] s = Console.ReadLine().Split(' ');
        int H = int.Parse(s[0]);
        int W = int.Parse(s[1]);
        int D = int.Parse(s[2]);
        int[,] A = new int[H,W];
        int[,] magic = new int[H, W];
        for (int i = 0; i < H;i++)
        {
            s = Console.ReadLine().Split(' ');
            for (int j = 0; j < W; j++)
            {
                A[i,j] = int.Parse(s[j]);
            }
        }
        int Q = int.Parse(Console.ReadLine());
        int[] L = new int[Q];
        int[] R = new int[Q];

        for (int i = 0; i < Q;i++)
        {
            s = Console.ReadLine().Split(' ');
            L[i] = int.Parse(s[0]);
            R[i] = int.Parse(s[1]);
        }

        boo = false;
        for (int i = 0; i < H; i++)
        {
            for (int j = 0; j < W; j++)
            {
                boo = false;
                for (int k = 0; k < H; k++)
                {
                    for (int l = 0; l < W; l++)
                    {
                        if(A[i,j] + D == A[k,l])
                        {
                            magic[i,j] += Math.Min(Math.Abs(i - k), Math.Abs(k - i));
                            magic[i,j] += Math.Min(Math.Abs(j - l), Math.Abs(l - j));
                            boo = true;
                            break;
                        }
                    }
                    if (boo) break;
                }
            }
        }

        int[] magicNum = new int[H * W];
        boo = false;

        for (int num = 0; num < H * W;num++)
        {
            boo = false;
            for (int i = 0; i < H; i++)
            {
                for (int j = 0; j < W; j++)
                {
                    if (num == A[i, j])
                    {
                        magicNum[num] += magic[i, j];
                        boo = true;
                        break;
                    }
                }
                if (boo) break;
            }
        }

        for (int num = 0; num < Q; num++)
        {
            int ans = 0;
            if (L[num] == R[num])
            {
                Console.WriteLine("0");
                continue;
            }

            //for (int cou = 0; cou <= (R[num] - L[num]) / D;cou++)
            //{
                
            //    L[num] += D;
            //}

            while(true)
            {
                ans += magicNum[L[num]];
                L[num] += D;
                if (L[num] == R[num]) break;
            }
            Console.WriteLine(ans);
        }

    }
}