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// Hugo Xếp lịch

#include <iostream>
#define max(a, b) (a > b) ? a : b
using namespace std;

int T, N;
int L[3];
int P[3];
int Stime[55];
int Etime[55];
int S[3];
int E[3];
int ans, maxA;

bool is_Safe(int k, int st){

	if(k == 0) return true;
	for(int i = 0; i < k; i++){
		if(!(E[i] <= st || st + L[k] <= S[i])){
			return false;
		}
	}
	return true;
}
void calPoint(){
	ans = 0;
	for(int i = 0; i < N; i++){
		int p = 0;
		for(int j = 0; j < 3; j++){
			if(Stime[i] <= S[j] && Etime[i] >= E[j]){
				p = max(p, P[j]);
			}
		}
		ans += p;
	}
}

void backtrack(int k){
	if(k == 3){
		calPoint();
		if(ans > maxA){
			maxA = ans;
		}
		return;
	}
	for(int i = 1; i <= 50; i++){
		if(is_Safe(k, i)){
			S[k] = i;
			E[k] = i + L[k];
			backtrack(k + 1);
		}
	}
}

int main(){
	freopen("input.txt", "rt", stdin);
	cin >> T;
	for(int tc = 1; tc <= T; tc++){
		cin >> N;
		for(int i = 0; i < 3; i++){
			cin >> L[i];
		}
		for(int i = 0; i < 3; i++){
			cin >> P[i];
			S[i] = 0;
			E[i] = 0;
		}
		int d = 0;
		for(int i = 0; i < N; i++){
			cin >> Stime[i];
			cin >> d;
			Etime[i] = Stime[i] + d;
		}
		ans = 0;
		maxA = 0;
		backtrack(0);
		cout << "Case #" << tc << endl;
		cout << maxA << endl;
	}
	return 0;
}

// Hugo thi chạy 
Hugo Thi Chạy
Hugo thi chạy

Sắp tới công ty nên Hugo làm việc tổ chức sự kiện Olympic dành cho toàn bộ nhân viên. Có rất nhiều bộ môn thi đấu như Bóng bàn, cầu long, cờ vua, cờ tướng, bơi lội, và có cả thể thao điện tử nữa. Là một người quan tâm tới sức khỏe của bản thân vì vậy Hugo thường xuyên chạy bộ để rèn luyện sức khỏe. Thật may trong các môn thi đấu Olympic có hạng mục này. Trong quá trình tập luyện Hugo đã luyện cho mình được 5 kiểu chạy khác nhau, mỗi kiểu chạy sẽ tiêu tốn số lượng năng lượng nhất định và thời gian chạy hết 1km là khác nhau. Mỗi kiểu chạy sẽ sử dụng cho 1km.

Năng lượng của Hugo là có hạn, nếu sử dụng vượt Hugo sẽ bị bệnh.


Sau khi tham khảo thông tin Hugo biết được quãng đường cần chạy bộ D của cuộc thi. Nhân viên y tế có thể giúp Hugo tính toán được số năng lượng tối đa của Hugo.
Cho thông tin của 5 kiểu chạy của Hugo bao gồm số phút, số giây (số phút <= 6 và số giây <= 60) và số năng lượng tiêu tốn.
Hãy tính thời gian ngắn nhất để Hugo về đích mà không bị bệnh.

 

Input

Dòng đầu số test T (T<=50)

Mỗi test bao gồm 2 dòng

Dòng 1 chứa số năng lượng tối đa M <=60 và chiều dài quãng đường D<=40km
Dòng thứ 2 chứa thông tin của 5 kiểu chạy lần lượt là số phút, số giây, số năng lượng tiêu tốn

 

Output
In ra thời gian ngắn nhất để Hugo về đích mà không bị bệnh theo dạng số phút, số giây. Nếu không thể hãy in ra -1

 

Input

4

297 10

5 38 23 5 22 12 4 16 6 5 38 20 0 20 17

192 10

2 6 12 6 5 24 2 22 22 4 13 12 4 30 16

503 10

1 42 20 1 8 14 0 33 15 2 6 6 5 3 16

122 10

2 37 21 3 59 22 6 0 22 4 56 5 0 9 10


Output

Case #1

3 20

Case #2

21 0

Case #3

5 30

Case #4

1 30


Input full:
50
297 10
5 38 23 5 22 12 4 16 6 5 38 20 0 20 17 
192 10
2 6 12 6 5 24 2 22 22 4 13 12 4 30 16 
503 10
1 42 20 1 8 14 0 33 15 2 6 6 5 3 16 
122 10
2 37 21 3 59 22 6 0 22 4 56 5 0 9 10 
313 10
5 33 22 1 27 13 3 21 11 1 24 14 0 56 12 
221 10
1 21 13 4 9 17 4 18 5 4 5 13 3 49 19 
415 10
1 57 10 5 39 17 5 34 17 1 30 9 5 41 23 
156 10
4 24 9 3 30 10 2 54 20 3 14 12 3 27 14 
220 10
1 59 21 1 30 20 1 44 7 1 32 8 1 45 8 
273 10
6 11 22 6 16 23 3 42 17 4 6 13 2 49 9 
442 10
0 3 21 1 59 12 3 16 24 1 25 24 4 54 17 
506 11
4 12 6 0 25 22 0 15 23 2 6 13 2 44 24 
370 12
3 46 17 0 26 20 6 6 22 1 14 18 2 23 23 
143 13
5 4 14 3 52 20 3 56 18 4 10 15 4 27 22 
142 14
0 51 5 6 15 22 4 14 6 5 35 20 1 57 21 
51 15
5 30 23 6 0 14 2 23 9 5 40 15 4 32 20 
110 16
3 8 6 3 52 6 3 8 5 5 29 6 4 25 21 
173 17
5 34 15 1 39 23 4 21 7 1 35 21 0 59 18 
215 18
4 1 9 6 22 17 5 34 22 4 6 10 3 0 24 
462 19
4 2 10 5 27 24 6 35 24 1 42 17 0 26 9 
156 20
0 17 18 4 8 20 1 10 22 4 22 17 5 22 8 
295 21
4 54 22 6 14 12 1 42 12 5 52 7 2 52 18 
239 22
0 56 12 5 17 20 2 14 24 1 48 8 4 45 15 
309 23
3 0 23 4 53 23 4 46 19 0 13 11 0 20 9 
162 24
0 38 8 3 2 6 5 33 9 4 18 6 0 8 5 
329 25
0 37 13 0 35 9 3 24 12 2 50 13 6 56 11 
548 26
2 42 17 6 47 22 0 21 6 5 18 6 5 51 5 
501 27
0 32 8 3 40 5 3 58 6 1 55 16 1 57 23 
254 28
0 45 23 6 59 10 6 34 8 2 24 9 2 42 23 
260 29
6 52 6 3 45 15 0 21 6 4 56 9 2 1 17 
261 30
3 19 19 1 40 6 0 30 13 4 28 5 6 36 15 
443 31
2 13 10 3 50 5 4 52 20 2 40 14 0 45 11 
122 32
0 34 17 1 52 12 1 40 11 6 21 22 0 6 9 
446 33
4 12 21 4 26 18 3 50 15 2 35 8 2 53 15 
283 34
0 27 15 3 19 16 6 15 15 4 26 17 5 43 10 
282 35
4 39 20 0 27 6 0 44 18 0 35 9 5 2 6 
388 36
1 40 17 5 5 9 2 33 16 4 23 11 4 29 8 
54 37
2 9 17 4 48 10 4 57 20 6 20 5 6 7 24 
232 38
4 12 11 5 28 21 6 11 6 0 45 15 1 11 5 
385 39
2 38 8 4 28 5 2 42 8 3 20 21 2 34 9 
383 40
1 36 24 0 52 14 4 39 8 5 55 6 1 28 10 
363 40
2 56 6 0 47 14 0 4 23 1 32 17 2 14 17 
395 40
4 41 18 3 52 21 6 34 23 6 24 11 1 1 12 
592 40
1 52 20 5 59 15 4 57 10 1 36 18 1 31 5 
174 40
0 7 7 2 8 11 4 28 9 2 35 19 6 0 18 
545 40
5 37 20 3 31 20 6 20 7 0 39 11 0 12 7 
551 40
2 44 18 4 3 17 2 23 5 5 55 12 6 32 6 
186 40
5 56 15 3 9 24 1 30 12 6 19 15 0 55 22 
216 40
5 9 22 5 21 11 5 22 9 4 31 6 5 34 19 
442 40
0 25 13 5 14 6 1 23 8 2 15 12 0 58 6

// Solution 1: package Lesson_15;

import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.util.Scanner;

public class Hugo_Thi_Chay {
	static int T, Energy, Distance;
	static int secondRun[], energyRun[];
	static int  min, minimalTime;
	
	//Backtrack theo tung quang duong ung voi kieu chay 
	public static void backTrack(int k, int dist, int sumEnergy, int sumTime){
		if(sumEnergy > Energy || sumTime > min) return;
		// Co 5 kieu chay
		if(k == 5 ){
			if(dist == Distance && sumTime < min) min = sumTime;
			return;
		}
		

		backTrack(k+1, dist , sumEnergy, sumTime);
		
		// Quang duong dai toi da 40km 
		for(int i = 1; i <= Distance; i++){
//			if(sumEnergy + energyRun[typeRun] < Energy){
//				sum += secondRun[typeRun];
				backTrack(k+1, dist + i , sumEnergy + i * energyRun[k], sumTime + i * secondRun[k]);
//				sum -= secondRun[typeRun];
//				}
//			else{
//				sum += secondRun[typeRun+1];
//				backTrack(k+1, typeRun+1, sumEnergy + energyRun[typeRun+1]);
//				sum -= secondRun[typeRun+1];
//			}
			
		}
		
	}
	
	// Backtrack theo kieu chay
//	public static void backTrack_(int k, int typeRun, int sumEnergy){
//		if(sumEnergy > Energy || sum > min	|| sum > minimalTime) return;
//		if(k == Distance){
//			if(sum < min) min = sum;
//			return;
//		}
//		for(int i = 0; i < 5; i++){
////			if(sumEnergy + energyRun[i] < Energy){
//				sum += secondRun[i];
//				backTrack_(k+1, i, sumEnergy + energyRun[i]);
//				sum -= secondRun[i];
////			}
//				sum += secondRun[i];
//				backTrack_(k+1, i+1, sumEnergy + energyRun[i+1]);
//				sum -= secondRun[i];
//		}
//	}

	public static void main(String[] args) throws FileNotFoundException{
		System.setIn(new FileInputStream("Hugo_Thi_Chay"));
		Scanner scanner = new Scanner(System.in);
		T = scanner.nextInt();
		for(int tc = 1; tc <= T; tc++){
			System.out.println("Case #" + tc);
			Energy = scanner.nextInt();
			Distance = scanner.nextInt();
			secondRun = new int[6];
			energyRun = new int[6];
			int inputM = 0;
			int inputS = 0;
			for(int i = 0; i < 5; i++){
				inputM = scanner.nextInt();
				inputS = scanner.nextInt();
				secondRun[i] = inputM * 60 + inputS;
				energyRun[i] = scanner.nextInt();
			}
			min = 123456789;
			backTrack(0, 0, 0, 0);
			if (min == 123456789)
				System.out.println(-1);
			else
			{
				inputM = min / 60;
				inputS = min % 60;
				System.out.println(inputM + " " + inputS);
			}
			
		}
	}

}

// Solution 2:
package Lesson_15;

import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.util.Scanner;

public class Solution_Hugo_Thi_Chay {
	static int T, Energy, Distance;
	static int secondRun[], energyRun[];
	static int  min, sum, sumEnergy;
	
	//Backtrack theo tung quang duong ung voi kieu chay 
	public static void backTrack(int k, int d){
		if(sumEnergy > Energy || sum > min) return;
		if(d == Distance){
			if(sum < min) min = sum;
			return;
		}
		
		for(int i = k; i < 5; i++){
			sum += secondRun[i];
			sumEnergy += energyRun[i];
			backTrack(i, d+1);
			sum -= secondRun[i];
			sumEnergy -= energyRun[i];
		}
	}
	

	public static void main(String[] args) throws FileNotFoundException{
		System.setIn(new FileInputStream("Hugo_Thi_Chay"));
		Scanner scanner = new Scanner(System.in);
		T = scanner.nextInt();
		for(int tc = 1; tc <= T; tc++){
			System.out.println("Case #" + tc);
			Energy = scanner.nextInt();
			Distance = scanner.nextInt();
			secondRun = new int[6];
			energyRun = new int[6];
			int inputM = 0;
			int inputS = 0;
			for(int i = 0; i < 5; i++){
				inputM = scanner.nextInt();
				inputS = scanner.nextInt();
				secondRun[i] = inputM * 60 + inputS;
				energyRun[i] = scanner.nextInt();
			}
			min = 123456789;
			backTrack(0, 0);
			if (min == 123456789)
				System.out.println(-1);
			else
			{
				inputM = min / 60;
				inputS = min % 60;
				System.out.println(inputM + " " + inputS);
			}
			
		}
	}

}



// BanBongBay
BanBongBay
Cho N quả bóng bay với mỗi quả bóng bay có 1 giá trị số.
Người chơi được yêu cầu bắn vỡ các quả bóng bay để có được số điểm lớn nhất.

Điểm của người chơi sẽ được tính bằng tổng các lần bắn bóng bay.
Điểm của mỗi lần bắn bóng bay sẽ bằng tích của 2 quả bóng bay bên cạnh.

Nếu bên cạnh chỉ có 1 quả bóng bay thì điểm sẽ bằng điểm của quả bóng bay này.

Nếu không còn quả bóng bay nào bên cạnh thì điểm sẽ bằng điểm của quả bóng bay vừa bị bắn.



Hãy tìm điểm số lớn nhất và in ra.
N <=10

Điểm của các quả bóng <10000

Định dạng in ra như bên dưới.

input:

5
6
24 41 22 97 39 41
5
84 39 33 59 81
6
99 84 56 68 76 99
8
89 32 42 44 83 38 24 67
8
27 92 81 90 74 88 53 90

Ouput:
Case #1
11348
Case #2
14700
Case #3
30759
Case #4
29289
Case #5
43110

// Input
50
6
24 41 22 97 39 41
5
84 39 33 59 81
6
99 84 56 68 76 99
8
89 32 42 44 83 38 24 67
8
27 92 81 90 74 88 53 90
9
81 98 69 49 36 19 56 43 33
5
49 65 28 13 32
9
55 97 46 10 12 13 28 12 94
10
1 1 80 90 1 1 80 80 1 1
10
88 77 1 1 99 77 1 1 77 66
9
90 70 30 93 86 92 17 29 59
9
49 26 22 17 74 65 10 55 60
9
99 31 28 79 82 77 95 86 19
9
10 64 42 100 42 32 81 17 68
10
1 10 19 56 90 75 42 92 24 1
10
84 88 44 29 85 43 27 67 32 71
10
63 37 18 82 71 32 15 56 74 98
10
47 29 94 43 45 82 88 30 21 78
10
38 28 88 54 45 79 86 45 14 79
10
62 46 30 93 27 46 69 59 16 77
7
65 24 39 18 10 70 83
7
44 91 39 84 78 95 90
9
27 64 98 25 93 11 82 93 41
6
33 46 31 87 70 45
5
29 88 94 44 74
9
16 64 51 16 44 31 75 28 24
8
48 24 57 93 96 86 87 100
9
39 45 49 50 41 84 61 49 64
7
56 46 12 24 47 62 54
8
85 29 45 73 39 76 43 11
8
18 13 37 83 74 32 96 30
7
22 56 81 94 92 29 81
6
75 31 35 29 53 22
6
89 13 66 15 53 42
5
77 73 94 18 40
5
63 89 91 24 23
9
66 88 72 21 98 72 58 20 98
6
46 59 19 53 95 20
6
57 15 34 69 26 39
6
95 56 45 14 71 10
6
32 30 17 97 24 55
9
85 95 83 95 100 93 72 65 18
10
99 99 99 99 99 99 99 99 99 99
10
1 1 1 1 1 1 1 1 1 1
10
88 88 88 88 88 88 88 88 88 88
10
99 99 99 99 99 1 1 1 1 1 
10
1 1 1 88 88 88 88 1 1 1
10
88 88 1 1 1 1 1 1 99 99
10
1 55 1 55 1 55 1 55 1 55
10
55 1 55 1 55 1 55 1 55 1

// Solution
package Lesson_15;

import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.util.Scanner;

public class Ban_Bong_Bay {
	static int N, T;
	static int ball[], max;
	static boolean visited[];
	
	public static int checkBallRight(int index){
		for(int i = index+1; i < N; i++){
			if(!visited[i]){
				return ball[i];	
				}
			}
		return 1;
	}
	
	public static int checkBallLeft(int index){
		// Kiem tra vi tri qua bong ben trai tu diem ban
			for(int i = index - 1; 0 <= i; i--){
				if(!visited[i])
					return ball[i];
				}
			return 1;
		}
	
	
	public static void backTrack(int numberShot, int sum){
		if(numberShot == N-2){
			int count = 0;
			for(int i = 0; i < N; i++){
				if(!visited[i] && count < ball[i]){
					count = ball[i];
				}
			}
			sum += 2*count;
			if(max < sum) max = sum;
		// 	Neu bien sum la toan cuc thi phai thuc hien tra lai gia tri cu cua sum:  sum -= 2*count;
//			sum -= 2*count;
			
			return;
		}
		// Neu ban het luot qua 1 thi index tang len ban qua 2 va se sinh ra cac Th khac. VD 2 1 3 ....
		for(int index = 0 ; index < N; index++){
			if(!visited[index]){
				visited[index] = true;
				backTrack(numberShot+1, sum + checkBallLeft(index)*checkBallRight(index));
				visited[index] = false;
			}
		}
	}
	
	public static void main(String[] args) throws FileNotFoundException{
		System.setIn(new FileInputStream("BanBongBay"));
		Scanner scanner = new Scanner(System.in);
		T = scanner.nextInt();
		for(int tc = 1; tc <= T; tc++){
			N = scanner.nextInt();
			ball = new int[N];
			visited = new boolean[N];
			for(int i = 0; i < N; i++){
				ball[i] = scanner.nextInt();
			}
			
			max = -1;
			backTrack(0, 0);
			System.out.println("Case #" + tc);
			System.out.println(max);
		}
	}

}


Tiết kiệm điện
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)


// Input:
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
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71 8
1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 
44 6
1 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 
95 9
1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 1 
89 5
0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 
68 5
1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 0 
71 9
0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 
20 10
0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 
75 8
0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 
15 8
1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 
75 3
1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 
51 9
1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 
75 10
0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 0 
97 10
0 1 0 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 
19 5
0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 
93 4
1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 
37 8
0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 
61 5
1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 
84 10
0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 
27 7
1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 
15 6
1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 
13 4
1 1 1 0 0 1 0 0 1 1 1 0 0 
43 6
1 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 
40 4
1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 
53 3
1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 
91 3
1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 
10 8
0 0 1 0 1 1 0 1 0 0 
58 10
0 1 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 
22 5
0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 
30 6
0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 
52 3
0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 
45 10
1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 
51 5
1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 
27 7
0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 
20 4
1 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 1 
20 7
1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 
70 5
1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 
37 5
0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 
37 5
1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0 
60 3
1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 1 
58 4
1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 
95 5
0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 
50 4
1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 
23 3
0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 
35 5
1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 
63 7
1 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 
52 5
0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 
74 6
0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 
58 7
0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 
93 5
1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 
49 9
1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 
17 5
0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 
69 5
1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 
30 7
1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 
28 9
0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 
83 10
0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 
30 6
1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 
39 5
0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 
79 4
1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 
16 7
1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 
37 9
1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 
34 6
0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 
54 9
0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 
16 4
1 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 
90 7
1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 
53 9
0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 
45 8
1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 
67 5
1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 
69 7
0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 
55 3
0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 
16 7
0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 
92 7
0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 
82 5
1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 
18 8
1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 
60 8
0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 1 
42 3
0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 
40 10
1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 
71 9
1 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 
49 6
1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 
59 3
1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 
30 10
1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0 
88 3
0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 
72 9
0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 
11 4
1 1 0 0 1 0 0 0 1 0 1 
10 6
1 0 0 0 0 1 0 0 1 0 
85 4
1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 
13 4
1 1 0 0 1 0 1 1 0 1 1 0 1 
21 5
1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 
71 6
0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 
68 8
0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 1 0 
30 5
1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 
65 8
1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 1 
14 4
1 1 0 0 0 0 0 0 0 0 0 0 1 1 
58 4
1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 1

// Solution
package Lesson_15;

import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.util.Scanner;

public class Tiet_Kiem_Dien {
	static int T, N, Key;
	static int led[];
	static int max;
	
	static void changeLed(int key){
		for(int i = 0; i <= (N - key)/(key+1) ; i++){
			if(led[ key + i*(key+1) ] == 0 ) {
				led[key + i * (key+1)] = 1;
			}
			else
				led[key + i * (key+1)] = 0;
		}
	}
	
	static int countLedOff(){
		int countLedOff = 0;
		for(int i = 1; i <= N; i++){
			if(led[i] == 0){
				countLedOff++;
			}
		}
		return countLedOff;
	}
	
	static void backTrack(int k, int sum){
		if(k > 3) return;
		
		if(max < sum) max = sum;
//		if(k == 0){
//			System.out.println("Value = " + max + " k = " + k);
//		}
		for(int i = 1; i <= Key; i++){
			changeLed(i);
			backTrack(k+1, countLedOff());
			changeLed(i);
			
		}
	}
	
	public static void main(String[] args) throws FileNotFoundException{
		System.setIn(new FileInputStream("Tiet_Kiem_Dien"));
		Scanner scanner = new Scanner(System.in);
		T = scanner.nextInt();
		for(int tc = 1; tc <= T; tc++){
			N = scanner.nextInt();
			Key = scanner.nextInt();
			led = new int[N+1];
			for(int i = 1; i <= N; i++){
				led[i] = scanner.nextInt();
			}
			
			int countLed = 0;
			for(int i = 1; i <= N; i++){
				if(led[i] == 0){
					countLed++;
				}
			}
			max = countLed;
			backTrack(0, 0);
			
			System.out.println("#" + tc + " " + max);
		}
	}

}


Mời Đám Cưới
Mời đám cưới

Anh Uranus sắp tổ chức đám cưới, hôm nay anh muốn đi phát thiệp mời đến những người bạn trong team. Thấy Uranus đi mời cưới nên Tomoky giả vờ đi ra ngoài có việc để trốn. Uranus rất tức và quyết tâm tìm được Tomoky để mời.

Giả sử đường đi trong công ty tạo thành 1 đồ thị và, giữa hai điểm bất kỳ đều tồn tại đường đi trực tiếp hoặc gián tiếp thông qua một số điểm trung gian.

Do hỏi anh VenG nên anh Uranus biết trước điểm bắt đầu và điểm kết thúc trên đường đi của Tomoky, nhưng anh lại không biết Tomoky sẽ đi đường nào, do đó anh muốn tìm những điểm mà anh Tomoky bắt buộc phải đi qua trong hành trình của mình (trừ điểm đầu và điểm cuối)

Hãy giúp anh Uranus tìm số điểm bắt buộc phải đi qua trên đường đi của anh Tomoky.

Input

Dòng đầu tiên chứa số nguyên dương không lớn hơn 100 là số lượng các bộ dữ liệu. Các dòng tiếp theo chứa các bộ dữ liệu. Mỗi bộ dữ liệu gồm một nhóm dòng theo khuôn dạng: 

  Dòng 1 chứa 4 số nguyên N,M,u,v (u,v,N ≤ 100; M ≤ 1000). Trong đó N là số lượng đỉnh trên đồ thị. M là số đường đi.. u, v lần lượt là đỉnh bắt đầu và đỉnh kết thúc hành trình của anh Tomoky.

  M dòng  sau, mỗi dòng ghi hai  số  i,  j cách nhau một khoảng trống cho biết có đường nối trực tiếp giữa i với j (1≤i,j≤N).

Output

Với mỗi bộ dữ liệu, đưa ra màn hình một số nguyên là số lượng đỉnh bắt buộc phải đi qua khi đi từ u,v.

Example

Input:

2

5 7 1 3

1 2

2 4

2 5

3 1

3 2

4 3

5 4

4 5 1 4

1 2

1 3

2 3

2 4

3 4

Output:

2

0

// Input:
5
10 16 1 10
1 2
1 3
2 3
2 7
3 4
3 6
4 1
5 3
5 4
6 5
6 10
7 8
8 10
9 5
9 6
10 9
10 16 10 1
1 2
1 3
2 3
2 7
3 4
3 6
4 1
5 3
5 4
6 5
6 10
7 8
8 10
9 5
9 6
10 9
10 14 1 10
1 2
1 3
2 4
3 4
4 5
5 6
5 7
5 8
5 9
6 7
6 9
7 8
8 10
9 10
10 14 5 10
1 2
1 3
2 4
3 4
4 5
5 6
5 7
5 8
5 9
6 7
6 9
7 8
8 10
9 10
10 14 1 5
1 2
1 3
2 4
3 4
4 5
5 6
5 7
5 8
5 9
6 7
6 9
7 8
8 10
9 10
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