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 Rust (1.15.1) (judge verdict: Accepted)

#![allow(unused_imports, unused_variables, dead_code)]
use std::io::*;
use std::fmt::*;
use std::str::*;
use std::cmp::*;
use std::collections::*;
use std::io::Write;

trait InputValue {
    fn parse(s: &str) -> Self;
}

fn read<T: InputValue>() -> T {
    let mut buf = String::new();
    let _ = stdin().read_line(&mut buf);
    T::parse(&buf.trim())
}

fn readvec<T: InputValue>() -> Vec<T> {
    let mut vec = vec![];
    let line: String = read();
    for token in line.split_whitespace() {
        vec.push(T::parse(token));
    }
    vec
}

fn readlines<T: InputValue>(n: usize) -> Vec<T> {
    let mut vec = vec![];
    for _ in 0..n {
        vec.push(read());
    }
    vec
}

macro_rules! parse_single_value {
    ($($t:ty),*) => {
        $(
            impl InputValue for $t {
                fn parse(s: &str) -> $t { s.parse().unwrap() }
            }
        )*
    }
}
parse_single_value!(i32, i64, f32, f64, usize, String);

macro_rules! parse_tuple {
    ($($t:ident),*) => {
        impl<$($t),*> InputValue for ($($t),*) where $($t: InputValue),* {
            fn parse(s: &str) -> ($($t),*) {
                let mut tokens = s.split_whitespace();
                ($($t::parse(tokens.next().unwrap())),*)
            }
        }
    }
}
parse_tuple!(A, B);
parse_tuple!(A, B, C);

// ===

fn main() {
    let (h, w, d): (usize, usize, usize) = read();
    let mut a: Vec<Vec<usize>> = vec![];

    let mut x = vec![0 as i32; h*w];
    let mut y = vec![0 as i32; h*w];
    for i in 0..h {
        let a: Vec<usize> = readvec();
        for j in 0..w {
            x[a[j]-1] = j as i32;
            y[a[j]-1] = i as i32;
        }
    }

    let mut jump = vec![vec![]; d];
    for i in 0..d {
        let mut j = i;
        let mut cost = 0;
        jump[i].push(cost);
        while j+d < h*w {
            cost += (x[j+d] - x[j]).abs();
            cost += (y[j+d] - y[j]).abs();
            jump[i].push(cost);
            j += d;
        }
    }

    let q = read();
    for i in 0..q {
        let (l, r): (usize, usize) = read();
        let bucket = (l-1)%d;
        let li = (l-1)/d;
        let ri = (r-1)/d;
        println!("{}", jump[bucket][ri] - jump[bucket][li]);
    }
}