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#include <iostream>
using namespace std;
struct Visitors
{
	int time_arri, time_dura, v_point; 
}Visitors[51];

struct Advertisement
{
	int time_ad, point;
}QC[5];

struct AD_ST_EN
{
	int st, en;
}AD_ST_EN[5];
int HV[6][3] = {
	{1,2,3},
	{1,3,2},
	{2,1,3},
	{2,3,1},
	{3,1,2},
	{3,2,1} };
int nVistors;
int res;

void Input(){
	cin >> nVistors; 
	for(int i = 1; i <= 3; i++){
		cin >> QC[i].time_ad;
	}
	for(int i = 1; i <= 3; i++){
		cin >> QC[i].point;
	}
	for(int i = 0; i < nVistors; i++){
		cin >> Visitors[i].time_arri >> Visitors[i].time_dura;	
	}
	res = 0;
}


int GetPoint(){
	int tong = 0;
	for(int i = 0; i < nVistors; i++){
		int p_max = 0;
		for(int j = 1; j <=3 ; j++){
			if(Visitors[i].time_arri <= AD_ST_EN[j].st && Visitors[i].time_arri + Visitors[i].time_dura - 1 >= AD_ST_EN[j].en){
				if(QC[j].point > p_max) p_max = QC[j].point;
			}
		}
		tong = tong + p_max;
	}
	return tong;
}

void backtrack(int hv, int idx_ad, int t_next){
	if(idx_ad == 3){
		int s_point = GetPoint();
		if(res < s_point) res = s_point;
		return;
	}
	int ad_ith = HV[hv][idx_ad];
	int ad_time = QC[ad_ith].time_ad;
	int ad_point = QC[ad_ith].point;
	for(int i = t_next; i <= 50 - ad_time; i++){
		if(50 - i >= ad_time){
			AD_ST_EN[ad_ith].st = i;
			AD_ST_EN[ad_ith].en = i + ad_time - 1;
			backtrack(hv, idx_ad + 1, i + ad_time);
			AD_ST_EN[ad_ith].st = 0;
			AD_ST_EN[ad_ith].en = 0;
		}
	}
	backtrack(hv, idx_ad + 1, t_next);
}
int main(){
//	ios::sync_with_stdio(false);
//	cin.tie(NULL);
//	freopen("input.txt", "r", stdin);
	int T; cin >> T;
	for(int tc = 1; tc <= T; tc ++)	{
		Input();

		for(int i = 0; i < 6; i++){
			backtrack(i,0,1);
		}
		cout << "Case #" << tc << endl;
		cout << res << endl;
	}
	return 0;
}
###############################################################
Tiết kiệm điện
Văn phòng APS hiện tại đang có N bóng đèn và có K khóa. Các khóa được nối vào các bóng đèn theo quy luật như sau:
Khóa thứ K sẽ được nối vào các bóng đèn thứ K+n(K+1) (n>=0; 0<=K+n(K+1) <=N).
Ví dụ:
Khóa thứ 1 sẽ nối vào các bóng đèn số 1, 3, 5, 7,9…
Khóa thứ 2 sẽ nối vào các bóng đèn số 2, 5, 8, 11,…
Khóa thứ 3 sẽ nối vào các bóng đèn số 3, 7, 11, 15,…
Nếu khóa thứ k được thay đổi trạng thái, tất cả các bóng đèn đang nối với khóa k sẽ chuyển trạng thái (Bật->Tắt, tắt->bật).
Có một quy định được ban hành trong APS P: Nhân viên rời văn phòng cuối cùng phải có trách nhiệm tắt đèn trong văn phòng sao cho số lượng bóng đèn được tắt là lớn nhất. Tuy nhiên để thử thách tư duy của các nhân viên, nhân viên rời văn phòng cuối đó chỉ được phép thay đổi trạng thái khóa tối đa 3 lần, mỗi lần được chọn tối đa 1 khóa.
Hãy tạo một chương trình giúp các nhân viên tìm ra phương án tối ưu để tắt đèn với tối đa 3 lần tác động vào khóa^.^
Input:
Dòng 1 chứa số T là số TC.
Mỗi testcase bao gồm các thông tin sau:
-        Dòng đầu tiên chứa số lượng bóng đèn N và số Khóa K (10<=N<=100, 3<=K<=10);
-        Dòng tiếp theo là N bóng đèn, mỗi bóng đèn nhận 1 trong 2 trạng thái: 1 là bật, 0 là tắt.
OutPut:
In ra số lượng bóng đèn tối đa có thể tắt tại mỗi case.
Đáp số của mỗi TC in ra trên 1 dòng theo định dạng:
# TC Answer
Ví dụ:
Input
1
10 3 (10 bóng đèn và 3 khóa)
0 0 1 1 1 1 0 0 1 0 (lần lượt là 10 trạng thái của 10 bóng đèn, 1 là đang bật, 0 là đang tắt)
Output:
#1 6
Giải thích: Chọn tác động vào công tắc thứ 1, các bóng đèn sau sẽ bị thay đổi trạng thái:1 3 5 7 9
Stt bóng đèn 12345678910
Ban đầu 0011110010
Sau khi tác động vào khóa 11001011000
500
100 9
0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 
96 5
0 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 
89 3
1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 
14 3
1 1 0 1 0 1 0 0 1 1 1 0 1 0 
84 6
0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 
43 3
0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 
62 9
1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 
73 6
0 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 
67 5
0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 
46 8
1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 1 0 
23 7
1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 
71 4
1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 
72 10
1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 
29 5
0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 
25 7
1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 
62 10
1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 
14 9
0 0 0 0 0 0 0 0 1 1 1 0 1 0 
27 4
0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 
75 8
0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 
34 6
1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 
26 7
0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 
57 8
1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 
45 10
1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 
30 3
0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 
24 8
0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 
27 6
0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 
16 7
1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 
80 6
1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 
75 9
1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 
58 3
0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 
19 7
1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 
86 3
0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 
63 5
0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 
71 4
1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 
32 9
0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 1 1 
71 4
0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 
88 3
1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 0 
33 6
0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 
43 6
0 0 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 
63 7
0 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 
66 4
0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 
18 10
1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 
99 9
0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 
63 4
1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 
95 8
0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 
48 8
1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 
27 10
0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 
11 10
1 0 1 1 0 0 1 0 0 1 0 
70 8
0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 
77 6
0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 
61 5
0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 
42 9
1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 
77 7
1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 
50 7
0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 
40 6
1 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 
72 6
0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 
53 7
0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 
10 5
0 0 0 1 1 0 0 1 0 0 
68 4
1 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 
31 9
0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 
98 3
0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 
99 4
0 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 
60 9
0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 
66 7
0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 
99 4
1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 
70 7
0 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 
79 10
1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 
13 4
1 1 0 0 1 1 0 0 1 0 0 0 0 
29 8
0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 
33 9
0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 
11 10
0 1 0 0 0 0 1 1 1 1 1 
65 8
1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 
32 10
1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 
40 5
1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 
78 10
0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 
90 6
0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 
65 8
0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 1 
20 7
1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 
75 7
1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 0 
94 10
1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 
72 6
0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 
55 9
0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 
31 4
1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 
79 4
0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 
24 3
0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 
84 7
0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 
46 6
0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 
87 7
1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 
81 5
1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 
74 7
0 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 
31 10
0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 
22 8
0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 
54 5
0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 
78 7
1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 
66 5
0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 
91 4
1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 
12 8
0 0 0 0 0 1 1 0 0 0 1 1 
58 7
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0 0 0 1 1 1 1 0 0 1 1 1 
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#define _CRT_SECURE_NO_WARNINGS

#include<iostream>

using namespace std;

int N, K;
int state[105];

int ans;

void action(int key) {
	int n = 0;
	int k = key + 1;
	while ((k + n*(k+1)) <= N) {
		state[k + n*(k+1)] = 1 - state[k + n*(k+1)];
		n++;
	}
}

void backTrack(int k, int time) {
	if (k == K || time == 3) {
		int cnt = 0;
		for (int i = 1; i <= N; i++)
			if (!state[i])
				cnt++;

		if (cnt >  ans)
			ans = cnt;
		return;
	}

	for (int i = 0; i < 2; i++) {
		if (i == 0) {
			backTrack(k + 1, time);
		} else {
			action(k);
			backTrack(k + 1, time + 1);
			action(k);
		}
	}
}

int main() {
	int T;
	//freopen("sample_input.txt", "r", stdin);
	cin >> T;

	for (int test_case = 1; test_case <= T; ++test_case) {
		cin >> N >> K;

		for (int i = 1; i <= N; i++)
			cin >> state[i];

		ans = 0;
		backTrack(0, 0);

		cout << "#" << test_case << " " << ans << endl;
	}
	return 0;
}







#include<iostream>
using namespace std;
int N;
int arr[101][101];
int tempArr[101][101];
int Q[1000000][3];
int front, rear;
int dx[4] = {0, -1, 0, 1};
int dy[4] = {-1, 0, 1, 0};
int visited[101][101];
int cntArr[6];
int cntArea;



void clear_queue(){
	front = rear = 0;
}
void clear_arr(){
	for (int i = 0; i < 6; i++)
	{
		cntArr[i] = 0;
	}
}
void clear_visited(){
	for (int i = 0; i < N; i++)
	{
		for (int j = 0; j < N; j++)
		{
			visited[i][j] = 0;
		}
	}
}
void clear(){
	clear_arr();
	clear_queue();
	clear_visited();
}
void start_queue(int row, int col){
	front = rear = 0;
	Q[rear][0] = 0;
	Q[rear][1] = row;
	Q[rear++][2] = col;
	visited[row][col] = 1;
}
void start_area(){
	//int temp = 0;
	while(front != rear){
		int value = Q[front][0];
		int row = Q[front][1];
		int col = Q[front++][2];
		for (int i = 0; i < 4; i++)
		{
			int x = row+dx[i];
			int y = col+dy[i];
			if(x < 0 || x >= N || y < 0 || y >= N){
				continue;
			}
			else{
				if(arr[x][y] == 0 && visited[x][y] == 0){
					Q[rear][0] = 0;
					Q[rear][1] = x;
					Q[rear++][2] = y;
					visited[x][y] = 1;
				}
			}
		}
	}
}
void cnt_array(){
	int start = 0;

	for (int i = 0; i < rear; i++)
	{
		cntArr[Q[i][0]]++;
	}
}
void bfs(int row, int col){
	start_queue(row, col);
	start_area();
	front = 0;
	while(front != rear){
		int value = Q[front][0];
		int row = Q[front][1];
		int col = Q[front++][2];
		for (int i = 0; i < 4; i++)
		{
			int x = row+dx[i];
			int y = col+dy[i];
			if(x < 0 || x >= N || y < 0 || y >= N){
				continue;
			}
			else{
				if((value == 0  || (value != 0 && value == arr[x][y])) && visited[x][y] == 0 ){
					Q[rear][0] = arr[x][y];
					Q[rear][1] = x;
					Q[rear++][2] = y;
					visited[x][y] = 1;
				}
			}
		}
	}
	cnt_array();

	int max = 0;
	int index = 0;
	for (int i = 1; i < 6; i++)
	{
		if(cntArr[i] >= max){
			max = cntArr[i];
			index = i;
		}
	}

	int start = 0;
	while (Q[start][0] == 0){
		tempArr[Q[start][1]][Q[start][2]] = index;
		start++;
	}
}

void find(){
	for (int i = 0; i < N; i++)
	{
		for (int j = 0; j < N; j++)
		{
			if(arr[i][j] == 0 && visited[i][j] == 0){
				bfs(i, j);
				clear_queue();
				clear_arr();
				clear_visited();
			}
		}
	}
}
void cnt_area(int vtRoot, int vt){
	int row = vt/N;
	int col = vt%N;
	if(vt >= N*N){
		return;
	}
	if(visited[row][col] == 1){
		if(vt==vtRoot){
			cnt_area(vtRoot+1, vt+1);
		}
		return;
	}
	visited[row][col] = 1;
	for (int i = 0; i < 4; i++)
	{
		int x = row+dx[i];
		int y = col+dy[i];
		if(x < 0 || x >= N||y < 0|| y >= N){
			continue;
		}
		else{
			if(tempArr[x][y] == tempArr[row][col] && visited[x][y] == 0){			
				cnt_area(vtRoot, x*N+y);
				//visited[x][y] = 1;
			}
		}
	}
	if(vt == vtRoot){	
		cntArea++;
		cnt_area(vtRoot+1, vt+1);
	}
}
int main(int argc, char** argv)
{
	int test_case;
	int T;
	int Answer;

//	freopen("iput.txt", "r", stdin);
	cin >> T;
	for(test_case = 1; test_case <= T; ++test_case)
	{

		Answer = 0;
		cin >> N;
		clear();
		for (int i = 0; i < N; i++)
		{
			for (int j = 0; j < N; j++)
			{
				cin >> tempArr[i][j];
				arr[i][j] = tempArr[i][j];
			}
		}


		find();
		cntArea = 0;
		cnt_area(0, 0);
		cout << "Case #" << test_case << endl << cntArea << endl;
	}
	return 0;
}















#include<iostream>
using namespace std;
int N;
int arr[101][101];
int tempArr[101][101];
int Q[1000000][3];
int front, rear;
int dx[4] = {0, -1, 0, 1};
int dy[4] = {-1, 0, 1, 0};
int visited[101][101];
int cntArr[6];
int cntArea;



void clear_queue(){
	front = rear = 0;
}
void clear_arr(){
	for (int i = 0; i < 6; i++)
	{
		cntArr[i] = 0;
	}
}
void clear_visited(){
	for (int i = 0; i < N; i++)
	{
		for (int j = 0; j < N; j++)
		{
			visited[i][j] = 0;
		}
	}
}
void clear(){
	clear_arr();
	clear_queue();
	clear_visited();
}
void start_queue(int row, int col){
	front = rear = 0;
	Q[rear][0] = 0;
	Q[rear][1] = row;
	Q[rear++][2] = col;
	visited[row][col] = 1;
}
void start_area(){
	//int temp = 0;
	while(front != rear){
		int value = Q[front][0];
		int row = Q[front][1];
		int col = Q[front++][2];
		for (int i = 0; i < 4; i++)
		{
			int x = row+dx[i];
			int y = col+dy[i];
			if(x < 0 || x >= N || y < 0 || y >= N){
				continue;
			}
			else{
				if(arr[x][y] == 0 && visited[x][y] == 0){
					Q[rear][0] = 0;
					Q[rear][1] = x;
					Q[rear++][2] = y;
					visited[x][y] = 1;
				}
			}
		}
	}
}
void cnt_array(){
	int start = 0;

	for (int i = 0; i < rear; i++)
	{
		cntArr[Q[i][0]]++;
	}
}
void bfs(int row, int col){
	start_queue(row, col);
	start_area();
	front = 0;
	while(front != rear){
		int value = Q[front][0];
		int row = Q[front][1];
		int col = Q[front++][2];
		for (int i = 0; i < 4; i++)
		{
			int x = row+dx[i];
			int y = col+dy[i];
			if(x < 0 || x >= N || y < 0 || y >= N){
				continue;
			}
			else{
				if((value == 0  || (value != 0 && value == arr[x][y])) && visited[x][y] == 0 ){
					Q[rear][0] = arr[x][y];
					Q[rear][1] = x;
					Q[rear++][2] = y;
					visited[x][y] = 1;
				}
			}
		}
	}
	cnt_array();

	int max = 0;
	int index = 0;
	for (int i = 1; i < 6; i++)
	{
		if(cntArr[i] >= max){
			max = cntArr[i];
			index = i;
		}
	}

	int start = 0;
	while (Q[start][0] == 0){
		tempArr[Q[start][1]][Q[start][2]] = index;
		start++;
	}
}

void find(){
	for (int i = 0; i < N; i++)
	{
		for (int j = 0; j < N; j++)
		{
			if(arr[i][j] == 0 && visited[i][j] == 0){
				bfs(i, j);
				clear_queue();
				clear_arr();
				clear_visited();
			}
		}
	}
}
void cnt_area(int vtRoot, int vt){
	int row = vt/N;
	int col = vt%N;
	if(vt >= N*N){
		return;
	}
	if(visited[row][col] == 1){
		if(vt==vtRoot){
			cnt_area(vtRoot+1, vt+1);
		}
		return;
	}
	visited[row][col] = 1;
	for (int i = 0; i < 4; i++)
	{
		int x = row+dx[i];
		int y = col+dy[i];
		if(x < 0 || x >= N||y < 0|| y >= N){
			continue;
		}
		else{
			if(tempArr[x][y] == tempArr[row][col] && visited[x][y] == 0){			
				cnt_area(vtRoot, x*N+y);
				//visited[x][y] = 1;
			}
		}
	}
	if(vt == vtRoot){	
		cntArea++;
		cnt_area(vtRoot+1, vt+1);
	}
}
int main(int argc, char** argv)
{
	int test_case;
	int T;
	int Answer;

//	freopen("iput.txt", "r", stdin);
	cin >> T;
	for(test_case = 1; test_case <= T; ++test_case)
	{

		Answer = 0;
		cin >> N;
		clear();
		for (int i = 0; i < N; i++)
		{
			for (int j = 0; j < N; j++)
			{
				cin >> tempArr[i][j];
				arr[i][j] = tempArr[i][j];
			}
		}


		find();
		cntArea = 0;
		cnt_area(0, 0);
		cout << "Case #" << test_case << endl << cntArea << endl;
	}
	return 0;
}