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: Time Limit Exceeded)

////////////////////////////////////////////////////////////////////
// This source code is for Visual Studio
////////////////////////////////////////////////////////////////////
#include <iostream>
#include <string>
#include <vector>
#include <list>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <sstream>
#include <iterator>
#include <stack>
#include <functional>
#include <iomanip>
#include <string>
#include <cstring>
#include <deque>
#include <math.h>
#include <assert.h>

#define	numberof(a)	(sizeof(a) / sizeof(a[0]))
#define	INF		UINT64_MAX
#define Rep(i,n) for(int i = 0; i < (n); ++i )

using namespace std;

typedef vector< vector<int> > MAT;
typedef pair<int, int> PINT;
typedef long long ll;
typedef uint32_t u32;
typedef uint64_t u64;
typedef int32_t s32;
typedef int64_t s64;

//constant
//--------------------------------------------
const double EPS = 1e-10;
const double PI  = acos(-1.0);

int main()
{	
	ll H = 0;
	ll W = 0;
	ll D = 0;
	ll Q = 0;
	ll value = 0;
	ll A[1000 * 500];

	memset(A, 0, sizeof(A));

 	cin >> H >> W >> D;

	Rep(y, H) {
		Rep(x, W) {
			cin >> value;
			A[value] = (1000 * y + x);
		}
	}

	cin >> Q;
	vector<ll> L(Q);
	vector<ll> R(Q);
	vector<ll> ret(Q);
	Rep(i, Q) {
		cin >> L[i] >> R[i];
	}

	// calc each test
	Rep(t, Q) {
		ret[t] = 0;
		for (ll curr_val = L[t]; curr_val < R[t];  curr_val += D) {
			ll coord = A[curr_val];
			ll coord_next = A[curr_val + D];

			ret[t] += abs(coord_next % 1000 - coord % 1000) + abs(coord_next / 1000 - coord / 1000);
		}
	}

	Rep(t, Q) {
		cout << ret[t] << endl;
	}

	return 0;
}