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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;
}








Cho ma trận NxN (5 ≤ N ≤ 100) chứa các phần tử có giá trị 0 – 5 mô tả lãnh thổ 6
vương quốc. Yêu cầu sáp nhập các vùng số 0 về các lãnh thổ khác sao cho vùng đồng
nhất có diện tích lớn nhất (các vùng được chuyển đổi trước không được tính vào diện
tích để quyết định các vùng chuyển đổi sau), sau đó trả về số lượng vùng còn lại sau
khi sáp nhập.
55144
40242
50020
54301
13321
Thông thường, chúng ta có thể thấy rõ rằng có hai ô 5, hai ô 4, một ô 3  và hai ô 2 gian hàng xung quanh ba ô 0 này. Tuy nhiên, vì ô 5 cũng kết nối với ô khác cùng loại (ô 5, tại vị trí [1,1] và [4,1] với màu xanh lam), diện tích sẽ trở lên tốt hơn, vì vậy chúng tôi coi tần suất của ô 5 là 4. Trong trường hợp có nhiều hơn một loại ô có cùng tần suất cao nhất, chúng tôi sẽ chọn ô có giá trị cao hơn.
55144
45242
55520
54301
13321
Tiếp tục với ô 0 tiếp theo ta có ma trận bên dưới
55144
45242
55522
54331

1

3

3

2

1

Tất cả các Ô cùng loại và cạnh nhau (trên / dưới/ trái / phải) kết nối thành một khu vực.

5

5

1

4

4

4

5

2

4

2

5

5

5

2

2

5

4

3

3

1

1

3

3

2

1

Ở ví dụ này chúng ta có 11 vùng

.

 

[Input]

- Số lượng test case T (T <= 50)

- Kích thước ma trận N (5 <= N <= 100)

- Chi tiết ma trận được cho trong N hàng tiếp theo, Giá trị của mỗi ô có giá trị C (0 <= C <= 5)

5

5

5 5 1 4 4  

4 0 2 4 2  

5 0 0 2 0

5 4 3 0 1

1 3 3 2 1

7 

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

5 0 5 0 5 0 5

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

10

1 3 5 1 4 0 0 4 2 1

1 1 2 1 1 0 5 0 2 1

5 0 2 0 4 4 4 0 1 1

0 2 2 4 0 5 4 2 1 3

1 1 2 2 2 3 3 2 1 1

5 1 1 2 0 3 3 2 2 1

3 1 1 1 0 0 1 2 2 5

3 1 4 1 2 0 4 0 0 5

4 0 3 3 1 3 3 0 0 1

5 0 3 1 4 3 3 1 2 3

...

 

[Output]

- Xuất ra số lượng vùng sau khi đổi các vùng số 0

Case #1

11

Case #2

1

Case #3

31

...

 

[Constraint]

- Tất cả các ô số 0 cạnh nhau (trên/dưới/trái/phải) được tính là 1 khu vực.

- Chỉ có 6 loại ô từ : 0 - 5, ô sô 0 cần được thay đổi thành các số khác từ (1-5)

- Chúng tôi đảm bảo sẽ không có trường hợp nào trong đó tất cả các ô bằng không

- Tất cả các loại ô giống nhau nằm xung quanh nhau được coi là một khu vực.



- Time limit : 3s for 50 TC ( C, C++ 3000 msec, Java 6000 msec)






#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;
}








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