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)

#include <iostream>
#include <string>
#include <cstdlib>
#include <cstdio>
#include <queue>
#include <stack>
#include <list>
#include <utility>
#include <vector>
#include <set>
#include <algorithm>
#include <cmath>
#include <climits>
#include <map>
#include <unordered_map>
#include <string.h>
#include<iomanip>
#include <iterator>
#include <locale>

#define all(a) a.begin(),a.end()
#define VV(T) vector<vector< T > >
#define rep(i,N) for(int i = 0; i <N; i++)
#define repsg(i,s,g) for(int i = s; i <g; i++)
#define name(x) #x
using namespace std;

const int INF = INT_MAX;
const long long INFL = 1LL<<40;
const double PI = atan(1)*4;
//const int MOD = pow(10,9)+7;
int dy[]={0, 0, 1, -1, 0};
int dx[]={1, -1, 0, 0, 0};

typedef long long ll,LL;
typedef vector<int> vint;
typedef vector<vector<int> > vvint;
typedef vector<long long> vll, vLL;
typedef vector<vector<long long> > vvll, vvLL;
typedef pair<int,int> pii;
typedef pair<LL, LL> pLL;


// vector入力
template<typename T>
istream& operator >> (istream& is, vector<T>& vec){
    for(T& x: vec) is >> x;
    return is;
}
// vector出力
template<typename T>
ostream& operator << (ostream& os, vector<T>& vec){
    for(int i=0; i<vec.size(); i++){
        os << vec[i] << ( i+1 == vec.size() ? "" : " " );
    }
    return os;
}


int main() {
    int h,w,d;cin>>h>>w>>d;
    map<int,pii> mp;
    int a;
    vector<vector<int>>A(h);
    rep(i,h){
        A[i].resize(w);
        rep(j,w){
            cin>>a;
            mp[a] = make_pair(i+1,j+1);
            A[i][j]=a;
        }
    }
    
    int q;cin>>q;
    int l,r;
    rep(i,q){
        int val = 0;
        cin>>l>>r;
        while(l!=r){
            
            val+= abs(mp[l].first-mp[l+d].first) +abs(mp[l].second-mp[l+d].second);
            l = l+d;
        }
        
        cout<<val<<endl;
    }
   
    
    return 0;
}