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0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 
2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 
0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 
0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 
0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 
0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
Output:
Case #1
8

Case #2
38

Case #3
37

Case #4
-1

Case #5
49




Code: 
#include<iostream>
using namespace std;

int N, M;
int a[105][105];
int visited[105][105]; // rs
int cnt[105][105]; // rs
int indX[15]; // rs
int indY[15]; // rs
int map[15][15]; // rs
int dx[] = {-1, 0,  0, 1};
int dy[] = { 0, 1, -1, 0};
int index;
int vs[15]; // rs
int num[15];
int ans;
int indexStart;

// Queue
int qx[100000];
int qy[100000];
int front;
int rear;

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++;
}

bool checkXY(int x1, int y1){
	return x1 >= 0 && y1 >= 0 && x1 < N && y1 < M && visited[x1][y1] == 0;
}

void reset(){
	for(int i = 0; i < 15; i++){
		vs[i] = 0;
		indX[i] = 0;
		indY[i] = 0;
		num[i] = 0;
		for(int j = 0; j < 15; j++){
			map[i][j] = 0;
		}
	}

	for(int i = 0; i < N; i++){
		for(int j = 0; j < M; j++){
			visited[105][105] = 0;
			cnt[105][105] = 0;
		}
	}
}

void Try(int u){
	for(int v = 0; v < index; v++){
		if(vs[v] == 0){
			num[u] = v;
			vs[v] = 1;
			if(u == index - 1){
				int sum = 0;
				for(int i = 0; i < index - 1; i++){
					sum += map[num[i]][num[i+1]];
				}
				if(sum < ans) ans = sum; 
			}else{
				Try(u+1);
				vs[v] = 0;
			}
		}
	}
}

void BFS(int x, int y, int parent){
	for(int i = 0; i < N; i++){
		for(int j = 0; j < M; j++){
			visited[i][j] = 0;
			cnt[i][j] = 0;
		}
	}

	front = rear = -1;
	push(x, y);
	visited[x][y] = 1;

	while(!isEmpty()){
		int topx = qx[front];
		int topy = qy[front];
		pop();

		for(int i = 0; i < 4; i++){
			int x1 = topx + dx[i];
			int y1 = topy + dy[i];

			if(checkXY(x1,y1)){
				cnt[x1][y1] = cnt[topx][topy] + 1;
				visited[x1][y1] = 1;

				if(a[x1][y1] == 1 || a[x1][y1] == 3){
					for(int k = 0; k < index; k++){
						if(x1 == indX[k] && y1 == indY[k]){
							map[parent][k] = cnt[x1][y1];
						}
					}
				}

				push(x1,y1);
			}
		}
	}
}

int main(){
	freopen("input.txt", "r", stdin);
	int T; cin >> T;
	
	for(int tc = 1; tc <= T; tc++){
		cin >> N >> M;

		index = 0;
		reset();
		for(int i = 0; i < N; i++){
			for(int j = 0; j < M; j++){
				cin >> a[i][j];
				if(a[i][j] == 3){
					indX[index] = i;
					indY[index] = j;
					indexStart = index;
					index++;
				}
				if(a[i][j] == 1){
					indX[index] = i;
					indY[index] = j;
					index++;
				}
			}
		}

		for(int i = 0; i < index; i++){
			BFS(indX[i], indY[i], i);
		}

		ans = 1000000;
		Try(0);
		cout << "Case #" << tc << endl;
		cout << ans << endl;
	}

	return 0;
}
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