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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



























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






















Mario Climb
Mario Climb

 

0

0

1

3

1

1

1

0

0

0

0

0

2

1

1

1

 

Mario cần phải di chuyển từ vị trí có giá trị bằng 2 và ăn vàng ở ô có giá trị bằng 3

0 là nhữngô Mario không thể qua

1 là nhữngô Mario có thể qua

2 là vị trícủa Mario

3 là vị trí Mario cần di chuyển đến

Các vị trí này được thể hiện bằng ma trận NxM( 2<=N,M<=50)

Mario có thểdi chuyển theo hàng ngang hoặc hàng dọc

Hàng ngang mario chỉ nhảy được tối đa 1 bước

Hàng dọc mario có thể nhảy được “h” bước

Tìm bước nhảy “h” tối thiểu để Mario có thể ăn được vàng

Sample Input

3

5 8

1 1 1 1 0 0 0 0

0 0 0 3 0 1 1 1

1 1 1 0 0 1 0 0

0 0 0 0 0 0 1 0

2 1 1 1 1 1 1 1

5 6

0 1 1 1 0 0

3 1 0 1 1 0

0 0 0 0 1 1

0 0 0 0 0 1

2 1 1 1 1 1

9 13

0 1 1 1 1 1 1 1 1 1 1 1 1

1 1 0 0 0 0 0 0 0 0 0 1 1

0 0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0

1 1 0 0 0 0 0 0 0 0 0 1 3

0 0 0 0 0 0 0 0 0 0 0 0 0

1 1 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 0 0 0

2 1 1 1 1 1 1 1 1 1 1 1 1

Sample output

Case #1

2

Case #2

1

Case #3

3





















50
5 8
1 1 1 1 0 0 0 0
0 0 0 3 0 1 1 1
1 1 1 0 0 1 0 0 
0 0 0 0 0 0 1 0
2 1 1 1 1 1 1 1
5 6
0 1 1 1 0 0
3 1 0 1 1 0
0 0 0 0 1 1
0 0 0 0 0 1
2 1 1 1 1 1
9 13
0 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 0 0 0 0 0 0 0 0 1 1 
0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 
1 1 0 0 0 0 0 0 0 0 0 1 3 
0 0 0 0 0 0 0 0 0 0 0 0 0 
1 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 1 1 1 1 1 1 1 1 1
13 28
0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 
0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 
0 0 0 2 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 0 0 3 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 
12 28
0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 
1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 3 
0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 
13 25
0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 
0 1 1 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 
0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 
3 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 
0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 
1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 
12 26
0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 
0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 
0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 0 0 0 1 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 
0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 
0 0 0 3 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 
14 28
0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 
1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 
1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 
1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 
0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 
0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 
0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 1 1 0 3 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 
0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 
13 29
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 
0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 
0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 
0 1 1 0 1 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 
27 36
0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 
0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 
0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 
0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 
1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 
0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 
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0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 
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0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 
1 3 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 
0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 
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29 39
0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 
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0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 
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22 36
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26 34
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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)

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



















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