UVA1603SquareDestroyer

//UVA1603SquareDestroyer
#include
#include
#include 
const int MAXN = 5;
const int MAX = 100;
int n, s;
int maxd;
char exist[MAX];
int fullsize[MAX], size[MAX];  
int contain[MAX][MAX]; 
inline int Match_row(int x, int y) {
	return (2 * n + 1) * x + y;
}
inline int Match_col(int x, int y) {
	return (2 * n + 1) * x + y + n;
}
void Init() {
	int k;
	scanf("%d", &k);
	memset(contain, 0, sizeof(contain));
	memset(exist, 1, sizeof(exist));
	memset(size, 0, sizeof(size));
	memset(fullsize, 0, sizeof(fullsize));
	for(int i = 0; i < k; i++) {
		int tmp;
		scanf("%d", &tmp);
		exist[tmp - 1] = 0;
	}
	s = 0;//s记录编号所有的正方形 
	for(int i = 1; i <= n; i++) {
		for(int x = 0; x <= n - i; x++) {
			for(int y = 0; y <= n - i; y++) {
				size[s] = 0;
				fullsize[s] = i * 4;
				for(int j = 0; j < i; j++) {
					int a = Match_row(x, y + j);
					int b = Match_row(x + i, y + j);
					int c = Match_col(x + j, y);
					int d = Match_col(x + j, y + i);
					contain[s][a] = 1;
					contain[s][b] = 1;
					contain[s][c] = 1;
					contain[s][d] = 1;
					size[s] += exist[a] + exist[b] + exist[c] + exist[d];
				}
				s++;
			}
		}
	}
}
inline int Square_find() {
	for(int i = 0; i < s; i++) if(size[i] == fullsize[i]) return i;
	return -1;
}
bool Dfs(int d) {
	int k = Square_find();
	//printf("k = %d\n", k);
	if(k == -1) return true;
	if(d >= maxd) return false;
	int full = 2 * n * (n + 1); 
	for(int i = 0; i < full; i++) {
		if(contain[k][i]) {//找到 k 号正方形上的一根棍 
	//	    printf("k = %d, i = %d\n", k, i);
			for(int j = 0; j < full; j++) //找到与k上的i同边的正方形 
				if(contain[j][i]) size[j]--;//相当于去掉了一个正方形（由判定是否存在正方形的方法可得） 
			if(Dfs(d + 1)) return true;
			for(int j = 0; j < full; j++)//消除影响 
			    if(contain[j][i]) size[j]++;
		}
	}
	return false;
}
int main() {
	int T;
	scanf("%d", &T);
	while(T--) {
		scanf("%d", &n);
		Init();
	//	printf("s = %d\n", s);
	//	for(int i = 0; i < s; i++) printf("%d: size : %2d\n",i,  size[i]);
	//	printf("\n");
		for(maxd = 1; ; maxd++) {
			//printf("maxd = %d\n", maxd);
			if(Dfs(0)) {
				printf("%d\n", maxd); break;
			} 
		}
	}
	return 0;
} 
/*
2
2
0
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3 12 17 23
*/