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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace Practice
{
    class Program
    {
        private static int ReadAndParseInt()
        {
            return int.Parse(Console.ReadLine());
        }
        private static int[] ReadAndParseIntArr()
        {
            return Array.ConvertAll(Console.ReadLine().Split(' '), int.Parse);
        }
        private static long ReadAndParseLong()
        {
            return long.Parse(Console.ReadLine());
        }
        private static long[] ReadAndParseLongArr()
        {
            return Array.ConvertAll(Console.ReadLine().Split(' '), long.Parse);
        }
        static void Main(string[] args)
        {
            SolveA(args);
            //SolveB(args);
            //SolveC(args);
            //SolveD(args);


        }
        private struct Pos
        {
            public int row;
            public int col;
        }
        private const long MOD = 1000000007;
        static void SolveA(string[] args)
        {
            var hwd = ReadAndParseIntArr();
            int h = hwd[0];
            int w = hwd[1];
            int d = hwd[2];
            int[,] A = new int[h, w];
            for (int i = 0; i < h; ++i)
            {
                var a = ReadAndParseIntArr();
                for (int j = 0; j < w; ++j)
                {
                    A[i, j] = a[j];
                }
            }
            var coordinate = new Pos[h * w + 1];
            for(int i=0;i<h;++i)
            {
                for(int j=0;j<w;++j)
                {
                    coordinate[A[i, j]] = new Pos() { row = i, col = j };
                }
            }
            // 累積和テーブル
            var table = new long[h * w + 1];
            for(int i=d+1;i<=h*w;++i)
            {
                Pos spos = coordinate[i - d];
                Pos dpos = coordinate[i];
                table[i] = table[i - d] + Math.Abs(dpos.row - spos.row) + Math.Abs(dpos.col - spos.col);
            }

            int q = ReadAndParseInt();
            int[] L = new int[q];
            int[] R = new int[q];
            for(int i=0;i<q;++i)
            {
                var lr = ReadAndParseIntArr();
                L[i] = lr[0];
                R[i] = lr[1];
            }

            for(int i=0;i<q;++i)
            {
                long cost = 0;
                int l = L[i];
                int r = R[i];

                int idx = l % d;
                cost = table[r] - table[l];
                Console.WriteLine(cost);
            }
        }
        private static void Find(int x, Pos[] coordinate, out int row, out int col)
        {
            row = coordinate[x].row;
            col = coordinate[x].col;
        }
    }
}