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

import java.util.Scanner;
public class Main {

	public static void main(String[] args) {
		Scanner stdIn=new Scanner(System.in);
		int H=stdIn.nextInt();
		int W=stdIn.nextInt();
		int D=stdIn.nextInt();
		int L=0,R=0,X=0,Y=0,c=0;
		String A[]=new String[H*W+1];
		int z=0,y=0;
		while(z<H*W){
			while(y<W){
				L=stdIn.nextInt();
				A[L]=z/H+","+y;
				z++;y++;
			}y=0;
		}z=0;y=0;L=0;
		int Q=stdIn.nextInt();
		int ans[]=new int[Q];
		while(z<Q){
			L=stdIn.nextInt();
			R=stdIn.nextInt();
			while(L<R){
				c=A[L].indexOf(',');
				X=Integer.valueOf(A[L].substring(0,c));
				Y=Integer.valueOf(A[L].substring(c+1,A[L].length()));
				c=A[L+D].indexOf(',');
				X-=Integer.valueOf(A[L+D].substring(0,c));
				Y-=Integer.valueOf(A[L+D].substring(c+1,A[L].length()));
				if(X<0)
					X*=-1;
				if(Y<0)
					Y*=-1;
				ans[z]+=X+Y;
				L+=D;
			}
			z++;
		}z=0;
		while(z<Q){
			System.out.println(ans[z]);
			z++;
		}
	}
}