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 <fstream>
#include <iostream>
#include <algorithm>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <string>
#include <sstream>
#include <map>
#include <set>
#include <vector>
#include <stack>
#include <cmath>
#include <queue>
#include <random>

using namespace std;

#define INT_MAX_VALUE 2147483647
#define LONG_LONG_MAX_VALUE 9223372036854775807
#define ll long long
#define ld long double

struct XX{
    int s;
    int t;
    int c;
};

class xxGreater {
public:
    bool operator()(const XX& riLeft, const XX& riRight) const {
        //第2条件
        if((riLeft.t) == (riRight.t)){
            return riLeft.s < riRight.s;//<:昇順(小さいものから順番)、>:降順(大きいものから順番)
            //プライオリティキューの場合は > で、top()すると値の小さいものがとれる
        }
        //第1条件
        return (riLeft.t) < (riRight.t);
    }
};


//map<long long,long long> prime_f(long long n){
//    map<long long,long long>res;
//    for(int i=2;i*i<=n;i++){
//        while(n%i==0){
//            ++res[i];
//            n/=i;
//        }
//    }
//    if(n!=1)res[n]=1;
//    return res;
//}


int n;
//int dat[2*10000000];
//int dat2[2*10000000];
int dat[10];
int dat2[10];

void init(int n_){
    n=1;
    while(n<n_)n*=2;
    for(int i=0;i<2*n-1;i++){
        dat[i]=0;
        dat2[i]=0;
    }
}

void initset(int k,int a){
    k+=n-1;
    dat[k]=a;
    while(k>0){
        k=(k-1)/2;
        dat[k]=dat[k*2+1]+dat[k*2+2];
    }
}

//[a,b)の間を[l,r]区間で比較しアップデート
//引数のindexに注意
//nは固定。initで計算すみ
//update2(L[i],R[i]+1,0,0,n,D[i]);
void update2(int a,int b,int k,int l,int r,int v){//v更新値、区間は0-index
    if(r<=a || b<=l)return;
    if(a<=l && r<=b){
        dat[k]+=dat2[k];
        if(r-l>1){
            dat2[k*2+1]+=dat2[k]/2;
            dat2[k*2+1]+=dat2[k]/2;
        }
        dat2[k]=v*(r-l);
        return;
    }else{
        update2(a,b,k*2+1,l,(l+r)/2,v);
        update2(a,b,k*2+2,(l+r)/2,r,v);
        return;
    }
}

int query(int a,int b,int k,int l,int r){
    if(r<=a || b<=l)return 0;
    if(a<=l && r<=b){
        dat[k]+=dat2[k];
        if(r-l>1){
            dat2[k*2+1]+=dat2[k]/2;
            dat2[k*2+1]+=dat2[k]/2;
        }
        dat2[k]=0;
        return dat[k];
    }
    else{
        int vl=query(a,b,k*2+1,l,(l+r)/2);
        int vr=query(a,b,k*2+2,(l+r)/2,r);
        return vl+vr;
    }
}





int main(int argc, const char * argv[])
{
    //scanf("%s",S);
    //scanf("%d",&N);
    //scanf("%lld %lld",&target1,&target2);
    //sscanf(tmp.c_str(),"%dd%d%d",&time[i], &dice[i], &z[i]);
    //getline(cin, target);
    //ifstream ifs("a.txt");//テスト用
    //ifs >> a;
    //ここから
    
    //入力高速化
    ios::sync_with_stdio(false);
    cin.tie(0);
    
    int H,W,D,Q;
    cin >> H >> W >> D;
    int A[300][300];
    for(int i=0;i<H;i++){
        for(int j=0;j<W;j++){
            cin >> A[i][j];
        }
    }
    cin >> Q;
    int l[100000],r[100000];
    for(int i=0;i<Q;i++){
        cin >> l[i] >>r[i];
    }
    int x[301],y[301];
    for(int i=0;i<H;i++){
        for(int j=0;j<W;j++){
            x[A[i][j]]=i;
            y[A[i][j]]=j;
        }
    }
    for(int i=0;i<Q;i++){
        int ans=0;
        int ind=l[i];
        while(ind!=r[i]){
            ans+=abs(x[ind]-x[ind+D])+abs(y[ind]-y[ind+D]);
            ind+=D;
        }
        cout << ans << endl;
    }
    
    
    //ここまで
    //cout << "ans" << endl;改行含む
    //printf("%.0f\n",ans);//小数点以下表示なし
    //printf("%.7f\n",p);
    
    return 0;
}