Sample Input 1

1

Sample Output 1

Uphold integrity and ethics throughout the contest.

Sample Input 1

2
3
3 2
1 4
2 3
2
5 0
1 3

Sample Output 1

50
34

Sample Input 1

2
3 3 1
2 2 green
3 3 1
2 2 red

Sample Output 1

1
1

Sample Input 1

3
6
2 4 5 7 9 10
6
1 3 4 9 8 5
2
1 100

Sample Output 1

1
2
1

Sample Input 1

1
4 1000000009
3 5 7 11 2

Sample Output 1

1 1 1 1 2

Sample Input 1

3
5
1 3 5 -7 9
4
-7 -1 -4 -6
10
1 -3 5 -7 9 -11 13 -15 17 -19

Sample Output 1

18
0
24

Sample Input 1

11 10
1 0 1 F
1 2 10 C
1 3 8 W
1 9 9 M
1 4 6 M
2 2
2 1
2 5
1 5 7 C
2 1

Sample Output 1

1
4
0
3

Sample Input 2

12 5
1 3 7 G
1 7 11 G
1 4 5 C
1 0 6 C
2 2

Sample Output 2

8

Sample Input 1

2
3 2
4 2

Sample Output 1

110
0110

Sample Input 1

2 5
G 1 0 -1
D 0 1 -1
2 3 5 1 1
2 3 5 1 2
1 2 D 1 1 0
2 3 5 1 2
2 6 9 2 2

Sample Output 1

1 5
1 998244350
998244348 998244352
998244344 998244347

Sample Input 1

2
3
1 1 0
0 1 1
1 0 1
2
1 1
1 1

Sample Output 1

2
0 0
1 2
4
0 0
0 1
1 0
1 1

Sample Input 1

3
3 2 3 2 1
4 3 4 2 1
999 1 999 1 1

Sample Output 1

Zeros
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