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: Accepted)

#include <iostream>
#include <string>
#include <algorithm>
#include <functional>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <cstdio>
#include <cmath>
#include <tuple>
#include <iomanip>
#include <numeric>
#include <unordered_map>
#include <sstream>   
#include<limits.h>
#include<float.h>
#include<list>
#include <array>
#include <complex>
using namespace std;
#define i64  long long
#define int  long long
 
#define I32_MAX 2147483647
#define I64_MAX 9223372036854775807LL
#define I64_MAX2 1223372036854775807LL
#define INF I64_MAX2
#define MOD 1000000007
#define MEM_SIZE 10000

// int DP[MEM_SIZE][MEM_SIZE] = {0};
// int GMEM[MEM_SIZE][MEM_SIZE] = {0};
template<typename T> void DEBUG(T e){std::cout << e << std::endl;}
template<class T> void DEBUG(string str, T e){std::cout <<str << ">>" << e << std::endl;}
template<typename T> void DEBUG(const std::vector<T>& v){for(const auto& e : v){ std::cout << e << " "; } std::cout << std::endl;}
template<typename T> void DEBUG(const std::vector<std::vector<T> >& vv){ for(const auto& v : vv){ DEBUG(v); } }
template <class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}}
template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template<typename T> void SORT_(std::vector<T>& v,bool GREATER = 0){if(GREATER == 0)sort(v.begin(),v.end());else{sort(v.begin(),v.end(),std::greater<T>());}}

void DFS(int V,vector<vector<int> >&GRAPH,vector<int>&dist,int depth)
{
  dist[V] = depth;
  for (int i = 0; i < GRAPH[V].size(); i++)
  {
    if(dist[GRAPH[V][i]] == -1)
    {
      DFS(GRAPH[V][i],GRAPH,dist,depth+1);
    }
  }
  return;
}
void solve(void)
{
  int H,W,D;
  cin>>H>>W>>D;
  map<int,pair<int,int> > mp;
  for (int i = 0; i < H; i++)
  {
    for (int j = 0; j < W; j++)
    {
      int A;
      cin>>A;
      A--;
      mp[A] = pair<int,int>(i,j);
    }
  }
  vector<vector<pair<int,int> > > DATA(D);
  for (int i = 0; i < mp.size(); i++)
  {
    static auto itr = mp.begin();
    int A = itr->first;
    DATA[A%D].push_back(itr->second);
    itr++;
  }

  vector<vector<int> > dist(D);
  for (int i = 0; i < DATA.size(); i++)
  {
    dist[i].push_back(0);
    for (int j = 0; j < DATA[i].size()-1; j++)
    {
      pair<int,int> pos =DATA[i][j];
      pair<int,int> pos_n = DATA[i][j+1];
      dist[i].push_back(dist[i][j] + abs(pos.first - pos_n.first) + abs(pos.second - pos_n.second));
      
    }
    
  }
  // DEBUG(dist);
  int Q;
  cin>>Q;
  for (int i = 0; i < Q; i++)
  {
    int A,B;
    cin>>A>>B;
    A--;B--;
    int X = A/D;
    int Y = A%D;
    int D_1 = (B-A)/D;
    cout<<dist[Y][X+D_1] - dist[Y][X]<<endl;
  }
  
  
  


  
  
  
  return;
}


int32_t main(int32_t argc, const char *argv[])
{
  std::ios::sync_with_stdio(false);
  std::cin.tie(0);

  std::cout << std::fixed;
  std::cout << std::setprecision(9);
  solve();

 
  return 0;
}