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#define _CRT_SECURE_NO_WARNINGS
#include<iostream>
using namespace std;
#define MAXSIZE 101
#define MAXQUEUE 10100
class Queue
{
int head, rear;
int A[MAXQUEUE];
public:
Queue();
~Queue();
void enQueue(int inS);
int deQueue();
bool is_Empty();
void reset();
private:
};
Queue::Queue()
{
head = rear = -1;
}
Queue::~Queue()
{
}
void Queue::enQueue(int inS) {
A[++rear] = inS;
}
int Queue::deQueue() {
return A[++head];
}
bool Queue::is_Empty() {
if (head == rear) return true;
return false;
}
void Queue::reset() {
head = rear = -1;
}
int Map[101][101];
int visited[101][101];
int dist[11][11];
int rDirty[11], cDirty[11], node[11];
int nTestcase, N, M, nDirty, rStart, cStart, Min, step, cnt, nr, nc, rr, cc, sum;
int rspin[4] = { -1,1,0,0 };
int cspin[4] = { 0,0,-1,1 };
Queue rQueue, cQueue;
void resetVisit() {
for (int i = 0; i < N; i++) {
for (int j = 0; j < M; j++) {
visited[i][j] = -1;
}
}
}
int total() {
int temp = 0;
for (int i = 0; i < nDirty; i++) {
temp += node[i];
}
return temp;
}
void backtrack(int dirty, int nD) {
if (step >= Min)
return;
if (nD == nDirty) {
Min = Min > step ? step : Min;
return;
}
for (int i = 1; i < nDirty; i++) {
if (dist[dirty][i] != 0 && node[i] == 0) {
node[i]++;
step += dist[dirty][i];
backtrack(i, nD + 1);
node[i]--;
step -= dist[dirty][i];
}
}
}
void BFS(int r, int c) {
cnt = 0;
rQueue.reset();
cQueue.reset();
rQueue.enQueue(r);
cQueue.enQueue(c);
visited[r][c]++;
while (rQueue.is_Empty() == false && cnt < nDirty + 1) {
rr = rQueue.deQueue();
cc = cQueue.deQueue();
for (int i = 0; i < 4; i++) {
nr = rr + rspin[i];
nc = cc + cspin[i];
if (nr >= 0 && nr < N && nc >= 0 && nc < M && Map[nr][nc] != 2) {
if (visited[nr][nc] == -1) {
if (Map[nr][nc] == 1)
cnt++;
visited[nr][nc] = visited[rr][cc] + 1;
rQueue.enQueue(nr);
cQueue.enQueue(nc);
}
else if (visited[nr][nc] > visited[rr][cc] + 1) {
visited[nr][nc] = visited[rr][cc] + 1;
}
}
}
}
}
int main() {
freopen("input.txt", "r", stdin);
cin >> nTestcase;
for (int testcase = 1; testcase <= nTestcase; testcase++) {
cin >> N >> M;
nDirty = 1;
for (int i = 0; i < N; i++) {
for (int j = 0; j < M; j++) {
cin >> Map[i][j];
visited[i][j] = -1;
if (Map[i][j] == 1 || Map[i][j] == 3) {
if (Map[i][j] == 1) {
rDirty[nDirty] = i;
cDirty[nDirty] = j;
nDirty++;
}
else {
rDirty[0] = i;
cDirty[0] = j;
}
}
}
}
bool check = true;
for (int i = 0; i < N; i++) {
for (int j = 0; j < M; j++) {
if (Map[i][j] == 1 || Map[i][j] == 3) {
int temp = 0;
if ((i == 0 && j == 0) || (i == 0 && j == M - 1) || (i == N - 1 && j == 0) || (i == N - 1 && j == M - 1)) {
for (int k = 0; k < 4; k++) {
nr = i + rspin[k];
nc = j + cspin[k];
if (nr >= 0 && nr < N && nc >= 0 && nc < M && Map[nr][nc] == 2)
temp++;
}
if (temp == 2)
check = false;
break;
}
else if (i == 0 || j == 0 || i == N - 1 || j == M - 1) {
for (int k = 0; k < 4; k++) {
nr = i + rspin[k];
nc = j + cspin[k];
if (nr >= 0 && nr < N && nc >= 0 && nc < M && Map[nr][nc] == 2)
temp++;
}
if (temp == 3)
check = false;
break;
}
else {
for (int k = 0; k < 4; k++) {
nr = i + rspin[k];
nc = j + cspin[k];
if (nr >= 0 && nr < N && nc >= 0 && nc < M && Map[nr][nc] == 2)
temp++;
}
if (temp == 4)
check = false;
break;
}
}
}
}
if (check == false) {
cout << "Case #" << testcase << endl << -1 << endl;
}
else {
Min = 100000000; step = cnt = 0;
check = true;
for (int i = 0; i < nDirty; i++) {
resetVisit();
BFS(rDirty[i], cDirty[i]);
for (int j = 0; j < nDirty; j++) {
dist[i][j] = visited[rDirty[j]][cDirty[j]];
if (dist[i][j] == -1) {
check = false;
break;
}
}
node[i] = 0;
}
if (check == false) {
cout << "Case #" << testcase << endl << -1 << endl;
}
else
{
node[0] = 1;
backtrack(0, 1);
cout << "Case #" << testcase << endl << Min << endl;
}
}
}
return 0;
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