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: Wrong Answer)

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <vector>
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define show(x) cout << #x << " = " << (x) << endl;
using namespace std;
using ll = long long;
using pii = pair<int,int>;
int cost(pii a,pii b){
    return abs(a.first-b.first) + abs(a.second-b.second);
}
int main(){
    int h,w,d;
    cin >> h >> w >> d;
    vector<pii>pos(h*w+1);
    rep(i,h){
        rep(j,w){
            int a;
            cin >> a;
            pos[a] = pii(i,j);
        }
    }
    vector<vector<int>>sum(d);
    rep(i,d)sum[i].push_back(0);
    for(int i = 1; i <= h*w; i++){
        int k = i%d;
        if(i-d>=1)sum[k].push_back(cost(pos[i],pos[i-d]));
    }
    rep(i,d){
        rep(j,(int)sum[i].size()-1){
            sum[i][j+1] += sum[i][j];
        }
//         rep(j,sum[i].size()){
//             cout << sum[i][j] << " ";
//         }
//         cout << endl;
    }
    int q;
    cin >> q;
    while(q--){
        int a,b;
        cin >> a >> b;
        int k = a%d;
        int num = (b-a)/d;
        int start = a/d;
//        cerr << num << " " << start << endl;
        if(start>=1)cout << sum[k][start+num-1] - sum[k][start-1] << endl;
        else cout << sum[k][start+num] << endl;
    }
}