Quan ma

Quân mã

Trong một bàn cờ NxM.



Tìm số lần đi tối thiểu để quân mã ăn hết quân địch.



Quân mã có thể di chuyển xung quanh theo 8 hướng .(H1)



H1



Example : test case 1



Quân mã mất 3 lần di chuyển để ăn hết quân địch . (2,3) -> (3,5) -> (4,3)



H2



Input : dòng đầu tiên là số lương test case



            Dòng 2 là kích thước của bàn cờ



Tiếp theo là bàn cờ :



3 là vị trí xuất phát của quân mã



1 là vị trí quân địch



0 là vị trí trống.



Quân mã có thể di chuyển trên tất cả các vị trí trên bàn cờ (0,1,3).



Output:



In ra số lần di chuyển nhỏ nhất để quân mã ăn hết quân địch.



Sample input:



2



5 7



0 0 0 0 0 0 0



0 3 0 0 0 0 0



0 0 0 1 0 0 0



0 0 0 0 0 1 0



0 0 0 1 0 0 0



10 10



1 0 0 0 0 0 0 0 0 0



0 0 0 0 0 0 0 0 0 0



0 0 0 0 0 0 0 0 0 0



0 0 0 0 0 0 0 1 0 0



0 1 0 0 0 0 0 0 0 0



0 0 0 0 0 0 0 0 0 0



0 0 0 0 0 0 3 0 0 0



0 0 0 0 0 0 0 0 0 0



0 0 0 0 0 0 0 0 0 0



0 0 0 0 0 0 0 0 0 1



Sample output:



Case #1



3



Case #2



12
//////////////////////input
50
46 42
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///////////////////output
Case #1
59
Case #2
40
Case #3
44
Case #4
20
Case #5
67
Case #6
51
Case #7
57
Case #8
111
Case #9
45
Case #10
25
Case #11
71
Case #12
88
Case #13
47
Case #14
83
Case #15
19
Case #16
22
Case #17
83
Case #18
27
Case #19
32
Case #20
60
Case #21
31
Case #22
28
Case #23
43
Case #24
36
Case #25
63
Case #26
32
Case #27
46
Case #28
35
Case #29
28
Case #30
44
Case #31
50
Case #32
34
Case #33
14
Case #34
35
Case #35
83
Case #36
36
Case #37
20
Case #38
42
Case #39
29
Case #40
25
Case #41
22
Case #42
38
Case #43
29
Case #44
36
Case #45
48
Case #46
101
Case #47
55
Case #48
36
Case #49
39
Case #50
70
///////////////////tk
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#define MAX_SIZE 10000
#define INF 100000
using namespace std;
int dx[] = {-2, -2, -1, -1, 1, 1, 2, 2};
int dy[] = {-1, 1, -2, 2, -2, 2, -1, 1};
int Qx[MAX_SIZE], Qy[MAX_SIZE], front, rear;

void init(){
	front = rear = -1;
}

void push(int x, int y){
	rear++;
	Qx[rear] = x;
	Qy[rear] = y;
}

void pop(){
	front++;
}

int topX(){
	return Qx[front];
}

int topY(){
	return Qy[front];
}
bool isEmpty(){
	return front == rear;
}

int visited[100][100];
int board[100][100];
int distanceBFS[100][100];
int boardCopy[100][100];
int chess[100][2], numChess;
bool vis[1000];
int N, M;
int Kx, Ky;
int result;
void reset(){
	for(int i = 0; i < N; ++i){
		for(int j = 0; j < M; ++j){
			visited[i][j] = INF;
		}
	}
}

void BFS(int x, int y){
	init();
	reset();
	push(x, y);
	visited[x][y] = 0;
	while (!isEmpty())
	{
		pop();
		int xx = topX();
		int yy = topY();
		for(int i = 0; i < 8; ++i){
			int gx = xx + dx[i];
			int gy = yy + dy[i];
			if(gx >= 0 && gx < N && gy >= 0 && gy < M){
				if(visited[xx][yy] + 1 < visited[gx][gy]){
					push(gx, gy);
					visited[gx][gy] = visited[xx][yy] + 1;
				}
			} 
		}
	}
}

void backtrack(int k, int sum, int ind){
	if(sum > result){
		return;
	}
	if(k == numChess){
		if(sum < result){
			result = sum;
		}
		return;
	}
	for(int i = 0; i < numChess; ++i){
		if(vis[i] == false){
			vis[i] = true;
			backtrack(k+1, sum+ distanceBFS[ind][i], i);
			vis[i] = false;
		}
	}
}

int main(){
	//freopen("input.txt", "r", stdin);
	int T;
	cin >> T;
	for(int tc = 1; tc <= T; ++tc){
		cin >> N >> M;
		numChess = 1;
		for(int i = 0; i < N; ++i){
			for(int j = 0; j < M; ++j){
				cin >> board[i][j];
				if(board[i][j] == 1){
					chess[numChess][0] = i;
					chess[numChess][1] = j;
					numChess++;
				}
				else if(board[i][j] == 3){
					chess[0][0] = i;
					chess[0][1] = j;
				}
			}
		}
		for(int i = 0; i < numChess; ++i){
			vis[i] = false;
			for(int j = 0; j < numChess; ++j){
				distanceBFS[i][j] = 0;
			}
		}
		for(int i = 0; i < numChess; ++i){
			BFS(chess[i][0], chess[i][1]);
			for(int j = 0; j < numChess; ++j){
				if(i != j){
					distanceBFS[i][j] = visited[chess[j][0]][chess[j][1]];
					distanceBFS[j][i] = visited[chess[j][0]][chess[j][1]];
				}
			}
		}
		result = INF;
		backtrack(0, 0, 0);
		cout << "Case #" << tc << endl << result << endl;

	}

	return 0;
}