Untitled

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



50
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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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 
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 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 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 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 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 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 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 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 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 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 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 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 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 
79 19
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 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 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 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 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 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 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 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 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 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 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 
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 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 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 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 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 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 0 0 0 0 0 0 0 0 
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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 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 
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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 0 0 0 0

#include<iostream>
using namespace std;

int N, M;
int ans;
int map[105][105];
int road[105][2];
int kc[105][105];
int idx;
int sX, sY;

int const max_queue = 1000000;
int qx[max_queue];
int qy[max_queue];
int front = -1;
int rear = -1;
bool isEmpty(){
	return front == -1;
}
void push(int x, int y){
	if (front == -1) front = 0;
	rear++;
	qx[rear] = x;
	qy[rear] = y;
}
void pop(){
	if (front >= rear) front = rear = -1;
	else front++;
}

int dx[8] = {-2,-1, 1, 2, 2, 1,-1,-2};
int dy[8] = { 1, 2, 2, 1,-1,-2,-2,-1};
int visit[105][105];

void resetVisit(){
	for (int i = 0; i < N; i++){
		for (int j = 0; j < M; j++){
			visit[i][j] = 0;
		}
	}
}
void BFS(int x, int y, int u){
	resetVisit();
	int cnt = 0;
	front = rear = -1;
	push(x,y);
	visit[x][y] = 0;
	while(!isEmpty()){
		int x1 = qx[front];
		int y1 = qy[front];
		pop();
		for (int i = 0; i < 8; i++){
			int x2 = x1 + dx[i];
			int y2 = y1 + dy[i];
			if (x2>=0 && x2<N && y2>=0 && y2<M && visit[x2][y2]==0){
				visit[x2][y2] = visit[x1][y1] + 1;
				push(x2,y2);
				if (map[x2][y2] == 1 || map[x2][y2] == 3){
					for (int v = 0; v < idx; v++){
						if (x2==road[v][0] && y2==road[v][1]){
							kc[u][v] = visit[x2][y2];
						}
					}
				}
			}
		}
	}
}

int visitUV[105] = {0};
void Try(int u, int step, int ith){
	if (ith == idx){
		if (step < ans) ans = step;
		return;
	}
	if (step > ans) return;
	for (int v = 0; v < idx; v++){
		if (visitUV[v] == 0 && kc[u][v]>0){
			visitUV[v] = 1;
			Try(v,step+kc[u][v], ith+1);
			visitUV[v] = 0;
		}
	}
}


void reset(){
	idx = 1;
	ans = 1000000;
	for (int i = 0; i < N; i++){
		for (int j = 0; j < M; j++){
			map[i][j] = -1;
		}
	}
	for (int i = 0; i < 105; i++){
		road[i][0] = road[i][1] = 0;
		visitUV[i] = 0;
		for (int j = 0; j < 105; j++){
			kc[i][j] = 0;
		}
	}
}

int main(){
//	freopen("input.txt", "r", stdin);
	int TC; cin >> TC;
	for (int tc = 1; tc <= TC; tc++){
		cin >> N >> M;
		reset();
		for (int i = 0; i < N; i++){
			for (int j = 0; j < M; j++){
				cin >> map[i][j];
				if (map[i][j] == 3){
					sX = i;
					sY = j;
					road[0][0] = i;
					road[0][1] = j;
				}
				else if (map[i][j] == 1){
					road[idx][0] = i;
					road[idx][1] = j;
					idx++;
				}
			}
		}
			
		for (int i = 0; i < idx; i++) {
			BFS(road[i][0], road[i][1],i);
		}

		visitUV[0] = 1;
		Try(0,0,1);

		cout << "Case #" << tc << endl << ans << endl;
	}
	return 0;
}