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++14 (GCC 5.4.1) (judge verdict: Runtime Error)

#include <stdlib.h>
#include <stdio.h>
#include <vector>
#include <math.h>
using namespace std;

int main(){
	int H, W , D;
	vector<vector<vector<int> > > vv(D, vector<vector<int> >( (H*W/D+1), vector<int>(2)));
	scanf("%d %d %d",&H,&W,&D);
	for(int i = 0; i< W; i++){
		for(int j = 0; j < H ; j++){
		int temp;
		scanf("%d", &temp);		
		vv[temp %D][temp/D][0] = i;
		vv[temp %D][temp/D][1] = j;
		}
	}
	vector<vector<int> > sum(D, vector<int>(H*W/D+1));
	for (int i = 0; i< D; i++){
		for (int j = 0; j <= (H * W - i)/D;j++){
			if (j != 0 & ( 1 <=i + D * j <= H *W) & !(i == 0 & j == 1)){
				int x  =abs(vv[i][j][0] -vv[i][j-1][0]);
				int y = abs(vv[i][j][1] -vv[i][j-1][1]);
			 	sum[i][j] += x + y+   sum[i][j-1];
			}
			else if (i == 0 & j == 1) sum[i][j] = 0;
			else sum[i][j] = 0;
		}
	}
	int Q;
	scanf("%d",&Q);
	for (int i = 0 ; i <Q; i++){
		int R,L;
		scanf("%d %d",&L,&R);
		int ans = sum[R%D][R/D] - sum[R%D][L/D]; 
		printf("%d\n",ans);
	}	
	return 0;
}