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 JavaScript (node.js v5.12) (judge verdict: Runtime Error)

function Main(input) {
	input = input.split("\n")
	var input0 = input[0].split(" ")
	var Height = parseInt(input0[0]),
		Width = parseInt(input0[1]),
		D = parseInt(input0[2])
	var board = input.slice(1, Height+1).map(x => x.split(" ").map(y => parseInt(y)))
	console.log(board)
	var Quest = parseInt(input[Height + 1])
	var LR = input.slice(Height + 2).map(x => x.split(" ").map(y => parseInt(y)))
	var searchValueFromBoard = function(value) {
		for(var i = 0; i < Height; i++) {
			for(var j = 0; j < Width; j++) {
				if(board[i][j] == value) return [i, j]
			}
		}
	}

	var results = []
	var knownResults = {}
	for(var q = 0; q < Quest; q++) {
		if(knownResults[LR[q]] != undefined) {
			results.push(knownResults[LR[q]])
			break
		}
		var firstV = LR[q][0]
		var lastV= LR[q][1]

		var magicPoints = 0
		//first, ... //// -last-
		for(var currentV = firstV; currentV < lastV; currentV += 2){
			var nextV = currentV + D
			var current = searchValueFromBoard(currentV)
			var next = searchValueFromBoard(nextV)
			magicPoints += Math.abs(next[0] - current[0]) + Math.abs(next[1] - current[1])
		}

		knownResults[LR[q]].push(magicPoints)

		results.push(magicPoints)
	}

	console.log(results.join("\n"))

}

//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));