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)

// finish date: 2018/03/04

#include <iostream>
#include <cmath>
#include <vector>
#include <bitset>
#include <algorithm>
#include <stack>
#include <queue>
#include <map>
#include <climits>

using namespace std;

#define FOR(i, a, b) for(int (i)=a;(i)<(b);(i)++)
#define rep(i, n)  FOR(i,0,n)
#define ll long long
#define vi vector<int>
#define vvi vector<vector<int>>
#define vvvi vector<vector<vector<int>>>
#define vl vector<ll>
#define vvl vector<vector<ll>>
#define vd vector<double>
#define vvd vector<vector<double>>
#define vb vector<bool>
#define vvb vector<vector<bool>>
#define vs vector<string>
#define vc vector<char>
#define vvc vector<vector<char>>
#define bigmod 1000000007
#define INF 1050000000
#define pii pair<int,int>


int main() {
    int H, W, D;
    cin >> H >> W >> D;
    map<int, pii > mp;
    int in;
    FOR(i, 1, H + 1) {
        FOR(j, 1, W + 1) {
            cin >> in;
            mp[in] = pii(i, j);
        }
    }
    int Q;
    cin >> Q;
    rep(i, Q) {
        int sum = 0;
        int L,R;
        cin>>L>>R;
        while (L!=R){
            pii pair1 = mp[L];
            L+=D;
            pii pair2 = mp[L];
            sum += abs(pair1.first-pair2.first)+abs(pair1.second-pair2.second);
        }
        cout<<sum<<endl;
    }
    return 0;
}