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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#321210#4834. TrijectionhyforcesAC ✓33ms3816kbC++206.1kb2024-02-04 10:10:042024-02-04 10:10:04

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3624kb

input:

5 4
poly
4 2
.#
##
##
#.
perm
4 1 5 2 3
triang
1 2 4
1 4 5
1 5 7
2 3 4
5 6 7
perm
2 1 3 5 4

output:

5 4
triang
1 2 7
2 3 4
2 4 6
2 6 7
4 5 6
poly
3 3
.##
###
#..
poly
3 3
.##
###
##.
poly
3 3
###
##.
#..

input:

5 4
triang
1 2 7
2 3 4
2 4 6
2 6 7
4 5 6
poly
3 3
.##
###
#..
poly
3 3
.##
###
##.
poly
3 3
###
##.
#..

output:

5 4
poly
4 2
.#
##
##
#.
perm
4 1 5 2 3 
triang
1 2 4
1 4 5
1 5 7
2 3 4
5 6 7
perm
2 1 3 5 4 

result:

ok good communication process (4 test cases)

Test #2:

score: 100
Accepted
time: 0ms
memory: 3764kb

input:

2 6
poly
2 1
#
#
poly
1 2
##
perm
2 1
perm
1 2
triang
1 2 3
1 3 4
triang
1 2 4
2 3 4

output:

2 6
triang
1 2 3
1 3 4
perm
2 1 
poly
1 2
##
triang
1 2 4
2 3 4
poly
2 1
#
#
perm
1 2 

input:

2 6
triang
1 2 3
1 3 4
perm
2 1
poly
1 2
##
triang
1 2 4
2 3 4
poly
2 1
#
#
perm
1 2

output:

2 6
poly
2 1
#
#
poly
1 2
##
perm
2 1 
perm
1 2 
triang
1 2 3
1 3 4
triang
1 2 4
2 3 4

result:

ok good communication process (6 test cases)

Test #3:

score: 100
Accepted
time: 1ms
memory: 3616kb

input:

4 42
poly
3 2
.#
.#
##
poly
3 2
.#
##
#.
poly
3 2
##
#.
#.
poly
2 3
###
#..
poly
2 3
###
##.
poly
2 3
.##
###
poly
4 1
#
#
#
#
poly
3 2
##
##
#.
poly
1 4
####
poly
3 2
##
##
##
poly
3 2
.#
##
##
poly
2 3
.##
##.
poly
2 3
..#
###
poly
2 3
###
###
perm
1 4 2 3
perm
2 3 4 1
perm
2 4 1 3
perm
2 1 3 4
pe...

output:

4 42
perm
2 1 3 4 
triang
1 2 6
2 3 5
2 5 6
3 4 5
perm
4 1 2 3 
perm
2 1 4 3 
perm
1 2 4 3 
perm
3 4 1 2 
triang
1 2 6
2 3 6
3 4 5
3 5 6
triang
1 2 3
1 3 6
3 4 6
4 5 6
triang
1 2 5
1 5 6
2 3 4
2 4 5
triang
1 2 3
1 3 4
1 4 5
1 5 6
triang
1 2 3
1 3 5
1 5 6
3 4 5
triang
1 2 4
1 4 6
2 3 4
4 5 6
perm
1 3...

input:

4 42
perm
2 1 3 4
triang
1 2 6
2 3 5
2 5 6
3 4 5
perm
4 1 2 3
perm
2 1 4 3
perm
1 2 4 3
perm
3 4 1 2
triang
1 2 6
2 3 6
3 4 5
3 5 6
triang
1 2 3
1 3 6
3 4 6
4 5 6
triang
1 2 5
1 5 6
2 3 4
2 4 5
triang
1 2 3
1 3 4
1 4 5
1 5 6
triang
1 2 3
1 3 5
1 5 6
3 4 5
triang
1 2 4
1 4 6
2 3 4
4 5 6
perm
1 3 2 4
...

output:

4 42
poly
3 2
.#
.#
##
poly
3 2
.#
##
#.
poly
3 2
##
#.
#.
poly
2 3
###
#..
poly
2 3
###
##.
poly
2 3
.##
###
poly
4 1
#
#
#
#
poly
3 2
##
##
#.
poly
1 4
####
poly
3 2
##
##
##
poly
3 2
.#
##
##
poly
2 3
.##
##.
poly
2 3
..#
###
poly
2 3
###
###
perm
1 4 2 3 
perm
2 3 4 1 
perm
2 4 1 3 
perm
2 1 3 4...

result:

ok good communication process (42 test cases)

Test #4:

score: 100
Accepted
time: 1ms
memory: 3768kb

input:

5 126
poly
3 3
.##
##.
##.
poly
3 3
..#
.##
##.
poly
3 3
###
###
##.
poly
2 4
.###
###.
poly
3 3
..#
.##
###
poly
4 2
.#
.#
##
#.
poly
2 4
####
####
poly
4 2
.#
##
#.
#.
poly
3 3
###
##.
#..
poly
2 4
####
##..
poly
4 2
##
##
##
##
poly
4 2
##
#.
#.
#.
poly
3 3
.##
.##
###
poly
2 4
..##
###.
poly
4 2...

output:

5 126
perm
1 2 5 3 4 
triang
1 2 3
1 3 7
3 4 6
3 6 7
4 5 6
triang
1 2 3
1 3 4
1 4 5
1 5 7
5 6 7
perm
2 3 1 5 4 
triang
1 2 6
1 6 7
2 3 4
2 4 6
4 5 6
perm
3 1 2 4 5 
triang
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
triang
1 2 7
2 3 7
3 4 6
3 6 7
4 5 6
perm
2 1 3 5 4 
perm
1 3 5 2 4 
perm
2 4 5 1 3 
perm
5 1 2 3 ...

input:

5 126
perm
1 2 5 3 4
triang
1 2 3
1 3 7
3 4 6
3 6 7
4 5 6
triang
1 2 3
1 3 4
1 4 5
1 5 7
5 6 7
perm
2 3 1 5 4
triang
1 2 6
1 6 7
2 3 4
2 4 6
4 5 6
perm
3 1 2 4 5
triang
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
triang
1 2 7
2 3 7
3 4 6
3 6 7
4 5 6
perm
2 1 3 5 4
perm
1 3 5 2 4
perm
2 4 5 1 3
perm
5 1 2 3 4
tria...

output:

5 126
poly
3 3
.##
##.
##.
poly
3 3
..#
.##
##.
poly
3 3
###
###
##.
poly
2 4
.###
###.
poly
3 3
..#
.##
###
poly
4 2
.#
.#
##
#.
poly
2 4
####
####
poly
4 2
.#
##
#.
#.
poly
3 3
###
##.
#..
poly
2 4
####
##..
poly
4 2
##
##
##
##
poly
4 2
##
#.
#.
#.
poly
3 3
.##
.##
###
poly
2 4
..##
###.
poly
4 2...

result:

ok good communication process (126 test cases)

Test #5:

score: 100
Accepted
time: 0ms
memory: 3788kb

input:

6 396
poly
5 2
.#
.#
.#
##
##
poly
3 4
..##
####
###.
poly
3 4
.###
.##.
##..
poly
4 3
.##
###
###
###
poly
4 3
..#
.##
##.
##.
poly
3 4
.###
.#..
##..
poly
2 5
..###
#####
poly
4 3
..#
###
###
#..
poly
3 4
..##
.###
###.
poly
2 5
.####
###..
poly
3 4
...#
####
####
poly
3 4
####
####
###.
poly
4 3
...

output:

6 396
triang
1 2 3
1 3 4
1 4 8
4 5 8
5 6 7
5 7 8
triang
1 2 3
1 3 5
1 5 6
1 6 8
3 4 5
6 7 8
perm
1 3 2 4 6 5 
triang
1 2 3
1 3 5
1 5 6
1 6 7
1 7 8
3 4 5
triang
1 2 3
1 3 4
1 4 8
4 5 7
4 7 8
5 6 7
perm
1 4 2 3 6 5 
perm
4 5 1 2 6 3 
perm
3 1 4 5 2 6 
triang
1 2 6
1 6 8
2 3 5
2 5 6
3 4 5
6 7 8
perm
2 ...

input:

6 396
triang
1 2 3
1 3 4
1 4 8
4 5 8
5 6 7
5 7 8
triang
1 2 3
1 3 5
1 5 6
1 6 8
3 4 5
6 7 8
perm
1 3 2 4 6 5
triang
1 2 3
1 3 5
1 5 6
1 6 7
1 7 8
3 4 5
triang
1 2 3
1 3 4
1 4 8
4 5 7
4 7 8
5 6 7
perm
1 4 2 3 6 5
perm
4 5 1 2 6 3
perm
3 1 4 5 2 6
triang
1 2 6
1 6 8
2 3 5
2 5 6
3 4 5
6 7 8
perm
2 4 1 ...

output:

6 396
poly
5 2
.#
.#
.#
##
##
poly
3 4
..##
####
###.
poly
3 4
.###
.##.
##..
poly
4 3
.##
###
###
###
poly
4 3
..#
.##
##.
##.
poly
3 4
.###
.#..
##..
poly
2 5
..###
#####
poly
4 3
..#
###
###
#..
poly
3 4
..##
.###
###.
poly
2 5
.####
###..
poly
3 4
...#
####
####
poly
3 4
####
####
###.
poly
4 3
...

result:

ok good communication process (396 test cases)

Test #6:

score: 100
Accepted
time: 7ms
memory: 3776kb

input:

8 1000
poly
6 3
..#
..#
###
###
###
###
poly
5 4
.###
.###
.##.
###.
###.
poly
5 4
.###
####
###.
###.
##..
poly
5 4
####
####
####
####
###.
poly
4 5
..###
#####
#####
#####
poly
6 3
###
###
###
###
###
###
poly
4 5
.####
#####
##...
##...
poly
5 4
####
##..
##..
##..
##..
poly
4 5
....#
#####
####...

output:

8 1000
triang
1 2 4
1 4 5
1 5 6
1 6 7
1 7 10
2 3 4
7 8 9
7 9 10
perm
1 6 7 8 2 3 4 5 
triang
1 2 7
1 7 8
1 8 10
2 3 4
2 4 6
2 6 7
4 5 6
8 9 10
triang
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
1 7 10
7 8 10
8 9 10
perm
2 3 5 6 7 8 1 4 
triang
1 2 6
1 6 7
1 7 8
1 8 9
1 9 10
2 3 6
3 4 5
3 5 6
triang
1 2 4
1 4 9
1 ...

input:

8 1000
triang
1 2 4
1 4 5
1 5 6
1 6 7
1 7 10
2 3 4
7 8 9
7 9 10
perm
1 6 7 8 2 3 4 5
triang
1 2 7
1 7 8
1 8 10
2 3 4
2 4 6
2 6 7
4 5 6
8 9 10
triang
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
1 7 10
7 8 10
8 9 10
perm
2 3 5 6 7 8 1 4
triang
1 2 6
1 6 7
1 7 8
1 8 9
1 9 10
2 3 6
3 4 5
3 5 6
triang
1 2 4
1 4 9
1 9 ...

output:

8 1000
poly
6 3
..#
..#
###
###
###
###
poly
5 4
.###
.###
.##.
###.
###.
poly
5 4
.###
####
###.
###.
##..
poly
5 4
####
####
####
####
###.
poly
4 5
..###
#####
#####
#####
poly
6 3
###
###
###
###
###
###
poly
4 5
.####
#####
##...
##...
poly
5 4
####
##..
##..
##..
##..
poly
4 5
....#
#####
####...

result:

ok good communication process (1000 test cases)

Test #7:

score: 100
Accepted
time: 0ms
memory: 3576kb

input:

2 1000
triang
1 2 3
1 3 4
perm
1 2
poly
2 1
#
#
poly
1 2
##
perm
2 1
poly
1 2
##
poly
1 2
##
perm
1 2
perm
2 1
triang
1 2 3
1 3 4
perm
2 1
poly
2 1
#
#
perm
2 1
perm
2 1
poly
1 2
##
perm
1 2
poly
2 1
#
#
poly
1 2
##
triang
1 2 4
2 3 4
triang
1 2 4
2 3 4
perm
2 1
poly
2 1
#
#
triang
1 2 3
1 3 4
poly
...

output:

2 1000
poly
2 1
#
#
triang
1 2 4
2 3 4
triang
1 2 3
1 3 4
perm
2 1 
poly
1 2
##
perm
2 1 
perm
2 1 
triang
1 2 4
2 3 4
poly
1 2
##
poly
2 1
#
#
poly
1 2
##
triang
1 2 3
1 3 4
poly
1 2
##
poly
1 2
##
perm
2 1 
triang
1 2 4
2 3 4
triang
1 2 3
1 3 4
perm
2 1 
perm
1 2 
perm
1 2 
poly
1 2
##
triang
1 2 ...

input:

2 1000
poly
2 1
#
#
triang
1 2 4
2 3 4
triang
1 2 3
1 3 4
perm
2 1
poly
1 2
##
perm
2 1
perm
2 1
triang
1 2 4
2 3 4
poly
1 2
##
poly
2 1
#
#
poly
1 2
##
triang
1 2 3
1 3 4
poly
1 2
##
poly
1 2
##
perm
2 1
triang
1 2 4
2 3 4
triang
1 2 3
1 3 4
perm
2 1
perm
1 2
perm
1 2
poly
1 2
##
triang
1 2 3
1 3 4...

output:

2 1000
triang
1 2 3
1 3 4
perm
1 2 
poly
2 1
#
#
poly
1 2
##
perm
2 1 
poly
1 2
##
poly
1 2
##
perm
1 2 
perm
2 1 
triang
1 2 3
1 3 4
perm
2 1 
poly
2 1
#
#
perm
2 1 
perm
2 1 
poly
1 2
##
perm
1 2 
poly
2 1
#
#
poly
1 2
##
triang
1 2 4
2 3 4
triang
1 2 4
2 3 4
perm
2 1 
poly
2 1
#
#
triang
1 2 3
1 ...

result:

ok good communication process (1000 test cases)

Test #8:

score: 100
Accepted
time: 3ms
memory: 3596kb

input:

4 1000
perm
3 1 2 4
triang
1 2 6
2 3 6
3 4 6
4 5 6
poly
2 3
.##
###
perm
3 1 4 2
perm
1 3 4 2
poly
2 3
..#
###
poly
3 2
##
##
##
poly
2 3
###
#..
perm
1 3 2 4
triang
1 2 3
1 3 4
1 4 6
4 5 6
poly
3 2
.#
##
##
poly
4 1
#
#
#
#
perm
2 4 1 3
perm
3 4 1 2
triang
1 2 4
1 4 6
2 3 4
4 5 6
perm
1 3 4 2
poly
...

output:

4 1000
triang
1 2 6
2 3 6
3 4 6
4 5 6
perm
3 1 2 4 
perm
3 4 1 2 
triang
1 2 6
2 3 4
2 4 6
4 5 6
triang
1 2 3
1 3 4
1 4 6
4 5 6
perm
1 3 2 4 
triang
1 2 3
1 3 4
1 4 5
1 5 6
perm
2 1 4 3 
poly
2 3
..#
###
perm
1 3 4 2 
triang
1 2 3
1 3 5
1 5 6
3 4 5
triang
1 2 6
2 3 6
3 4 5
3 5 6
triang
1 2 3
1 3 6
3...

input:

4 1000
triang
1 2 6
2 3 6
3 4 6
4 5 6
perm
3 1 2 4
perm
3 4 1 2
triang
1 2 6
2 3 4
2 4 6
4 5 6
triang
1 2 3
1 3 4
1 4 6
4 5 6
perm
1 3 2 4
triang
1 2 3
1 3 4
1 4 5
1 5 6
perm
2 1 4 3
poly
2 3
..#
###
perm
1 3 4 2
triang
1 2 3
1 3 5
1 5 6
3 4 5
triang
1 2 6
2 3 6
3 4 5
3 5 6
triang
1 2 3
1 3 6
3 4 5
...

output:

4 1000
perm
3 1 2 4 
triang
1 2 6
2 3 6
3 4 6
4 5 6
poly
2 3
.##
###
perm
3 1 4 2 
perm
1 3 4 2 
poly
2 3
..#
###
poly
3 2
##
##
##
poly
2 3
###
#..
perm
1 3 2 4 
triang
1 2 3
1 3 4
1 4 6
4 5 6
poly
3 2
.#
##
##
poly
4 1
#
#
#
#
perm
2 4 1 3 
perm
3 4 1 2 
triang
1 2 4
1 4 6
2 3 4
4 5 6
perm
1 3 4 2...

result:

ok good communication process (1000 test cases)

Test #9:

score: 100
Accepted
time: 4ms
memory: 3724kb

input:

5 1000
perm
2 3 4 5 1
triang
1 2 3
1 3 6
1 6 7
3 4 5
3 5 6
triang
1 2 7
2 3 4
2 4 5
2 5 6
2 6 7
triang
1 2 3
1 3 6
1 6 7
3 4 6
4 5 6
triang
1 2 7
2 3 4
2 4 5
2 5 6
2 6 7
perm
2 1 4 5 3
perm
3 1 4 2 5
perm
5 1 2 3 4
poly
4 2
.#
##
##
#.
triang
1 2 3
1 3 7
3 4 7
4 5 7
5 6 7
triang
1 2 4
1 4 7
2 3 4
4 ...

output:

5 1000
poly
3 3
###
###
###
perm
2 3 5 1 4 
poly
4 2
##
##
##
#.
poly
3 3
..#
###
##.
poly
4 2
##
##
##
#.
triang
1 2 7
2 3 4
2 4 5
2 5 7
5 6 7
triang
1 2 7
2 3 6
2 6 7
3 4 6
4 5 6
poly
4 2
##
#.
#.
#.
triang
1 2 7
2 3 4
2 4 6
2 6 7
4 5 6
perm
1 4 2 3 5 
perm
3 5 1 2 4 
poly
3 3
.##
##.
#..
perm
3 1...

input:

5 1000
poly
3 3
###
###
###
perm
2 3 5 1 4
poly
4 2
##
##
##
#.
poly
3 3
..#
###
##.
poly
4 2
##
##
##
#.
triang
1 2 7
2 3 4
2 4 5
2 5 7
5 6 7
triang
1 2 7
2 3 6
2 6 7
3 4 6
4 5 6
poly
4 2
##
#.
#.
#.
triang
1 2 7
2 3 4
2 4 6
2 6 7
4 5 6
perm
1 4 2 3 5
perm
3 5 1 2 4
poly
3 3
.##
##.
#..
perm
3 1 4 ...

output:

5 1000
perm
2 3 4 5 1 
triang
1 2 3
1 3 6
1 6 7
3 4 5
3 5 6
triang
1 2 7
2 3 4
2 4 5
2 5 6
2 6 7
triang
1 2 3
1 3 6
1 6 7
3 4 6
4 5 6
triang
1 2 7
2 3 4
2 4 5
2 5 6
2 6 7
perm
2 1 4 5 3 
perm
3 1 4 2 5 
perm
5 1 2 3 4 
poly
4 2
.#
##
##
#.
triang
1 2 3
1 3 7
3 4 7
4 5 7
5 6 7
triang
1 2 4
1 4 7
2 3 ...

result:

ok good communication process (1000 test cases)

Test #10:

score: 100
Accepted
time: 3ms
memory: 3520kb

input:

6 1000
perm
6 1 2 3 4 5
triang
1 2 3
1 3 5
1 5 8
3 4 5
5 6 8
6 7 8
triang
1 2 5
1 5 6
1 6 8
2 3 4
2 4 5
6 7 8
poly
4 3
..#
.##
.#.
##.
poly
4 3
.##
.##
###
#..
triang
1 2 3
1 3 4
1 4 5
1 5 6
1 6 8
6 7 8
poly
3 4
####
##..
##..
perm
1 4 2 5 6 3
triang
1 2 3
1 3 7
1 7 8
3 4 6
3 6 7
4 5 6
poly
4 3
###
...

output:

6 1000
poly
5 2
##
#.
#.
#.
#.
poly
4 3
.##
.##
##.
##.
poly
4 3
###
###
##.
##.
triang
1 2 3
1 3 8
3 4 8
4 5 7
4 7 8
5 6 7
triang
1 2 8
2 3 7
2 7 8
3 4 5
3 5 6
3 6 7
perm
1 2 3 5 6 4 
perm
2 4 6 1 3 5 
poly
3 4
.###
.###
##..
perm
1 3 4 2 5 6 
perm
3 1 4 5 6 2 
triang
1 2 6
1 6 8
2 3 6
3 4 5
3 5 6
...

input:

6 1000
poly
5 2
##
#.
#.
#.
#.
poly
4 3
.##
.##
##.
##.
poly
4 3
###
###
##.
##.
triang
1 2 3
1 3 8
3 4 8
4 5 7
4 7 8
5 6 7
triang
1 2 8
2 3 7
2 7 8
3 4 5
3 5 6
3 6 7
perm
1 2 3 5 6 4
perm
2 4 6 1 3 5
poly
3 4
.###
.###
##..
perm
1 3 4 2 5 6
perm
3 1 4 5 6 2
triang
1 2 6
1 6 8
2 3 6
3 4 5
3 5 6
6 7 ...

output:

6 1000
perm
6 1 2 3 4 5 
triang
1 2 3
1 3 5
1 5 8
3 4 5
5 6 8
6 7 8
triang
1 2 5
1 5 6
1 6 8
2 3 4
2 4 5
6 7 8
poly
4 3
..#
.##
.#.
##.
poly
4 3
.##
.##
###
#..
triang
1 2 3
1 3 4
1 4 5
1 5 6
1 6 8
6 7 8
poly
3 4
####
##..
##..
perm
1 4 2 5 6 3 
triang
1 2 3
1 3 7
1 7 8
3 4 6
3 6 7
4 5 6
poly
4 3
##...

result:

ok good communication process (1000 test cases)

Test #11:

score: 100
Accepted
time: 4ms
memory: 3732kb

input:

8 1000
triang
1 2 3
1 3 10
3 4 5
3 5 9
3 9 10
5 6 8
5 8 9
6 7 8
triang
1 2 3
1 3 4
1 4 6
1 6 7
1 7 8
1 8 9
1 9 10
4 5 6
poly
4 5
...##
..##.
.###.
###..
perm
3 1 2 6 4 5 7 8
triang
1 2 6
1 6 10
2 3 4
2 4 6
4 5 6
6 7 8
6 8 10
8 9 10
triang
1 2 3
1 3 7
1 7 10
3 4 7
4 5 6
4 6 7
7 8 10
8 9 10
perm
2 5 1...

output:

8 1000
poly
4 5
..###
.###.
.##..
##...
perm
1 3 4 5 6 7 8 2 
triang
1 2 8
1 8 10
2 3 4
2 4 8
4 5 6
4 6 8
6 7 8
8 9 10
poly
6 3
..#
..#
.##
##.
#..
#..
poly
4 5
...##
...#.
.###.
###..
perm
1 4 5 2 3 7 6 8 
poly
5 4
...#
...#
...#
..##
###.
triang
1 2 3
1 3 4
1 4 5
1 5 10
5 6 10
6 7 8
6 8 10
8 9 10
...

input:

8 1000
poly
4 5
..###
.###.
.##..
##...
perm
1 3 4 5 6 7 8 2
triang
1 2 8
1 8 10
2 3 4
2 4 8
4 5 6
4 6 8
6 7 8
8 9 10
poly
6 3
..#
..#
.##
##.
#..
#..
poly
4 5
...##
...#.
.###.
###..
perm
1 4 5 2 3 7 6 8
poly
5 4
...#
...#
...#
..##
###.
triang
1 2 3
1 3 4
1 4 5
1 5 10
5 6 10
6 7 8
6 8 10
8 9 10
tr...

output:

8 1000
triang
1 2 3
1 3 10
3 4 5
3 5 9
3 9 10
5 6 8
5 8 9
6 7 8
triang
1 2 3
1 3 4
1 4 6
1 6 7
1 7 8
1 8 9
1 9 10
4 5 6
poly
4 5
...##
..##.
.###.
###..
perm
3 1 2 6 4 5 7 8 
triang
1 2 6
1 6 10
2 3 4
2 4 6
4 5 6
6 7 8
6 8 10
8 9 10
triang
1 2 3
1 3 7
1 7 10
3 4 7
4 5 6
4 6 7
7 8 10
8 9 10
perm
2 5 ...

result:

ok good communication process (1000 test cases)

Test #12:

score: 100
Accepted
time: 13ms
memory: 3636kb

input:

9 1000
triang
1 2 8
1 8 11
2 3 8
3 4 6
3 6 7
3 7 8
4 5 6
8 9 10
8 10 11
poly
5 5
....#
...##
.####
###..
#....
poly
6 4
.###
.###
.###
.##.
.##.
##..
perm
3 1 2 5 4 6 7 8 9
poly
6 4
...#
..##
.###
####
####
#...
poly
3 7
.######
.####..
##.....
perm
4 5 1 7 2 3 8 9 6
perm
2 1 5 3 4 8 6 7 9
poly
5 5
...

output:

9 1000
perm
4 5 1 2 7 9 3 6 8 
perm
3 1 7 2 8 4 5 6 9 
perm
1 6 2 7 8 3 4 9 5 
triang
1 2 11
2 3 11
3 4 5
3 5 11
5 6 8
5 8 9
5 9 10
5 10 11
6 7 8
triang
1 2 11
2 3 6
2 6 8
2 8 10
2 10 11
3 4 5
3 5 6
6 7 8
8 9 10
perm
1 4 2 5 7 9 3 6 8 
poly
5 5
.####
.####
.###.
.##..
###..
poly
6 4
...#
..##
.##.
....

input:

9 1000
perm
4 5 1 2 7 9 3 6 8
perm
3 1 7 2 8 4 5 6 9
perm
1 6 2 7 8 3 4 9 5
triang
1 2 11
2 3 11
3 4 5
3 5 11
5 6 8
5 8 9
5 9 10
5 10 11
6 7 8
triang
1 2 11
2 3 6
2 6 8
2 8 10
2 10 11
3 4 5
3 5 6
6 7 8
8 9 10
perm
1 4 2 5 7 9 3 6 8
poly
5 5
.####
.####
.###.
.##..
###..
poly
6 4
...#
..##
.##.
.#..
...

output:

9 1000
triang
1 2 8
1 8 11
2 3 8
3 4 6
3 6 7
3 7 8
4 5 6
8 9 10
8 10 11
poly
5 5
....#
...##
.####
###..
#....
poly
6 4
.###
.###
.###
.##.
.##.
##..
perm
3 1 2 5 4 6 7 8 9 
poly
6 4
...#
..##
.###
####
####
#...
poly
3 7
.######
.####..
##.....
perm
4 5 1 7 2 3 8 9 6 
perm
2 1 5 3 4 8 6 7 9 
poly
5...

result:

ok good communication process (1000 test cases)

Test #13:

score: 100
Accepted
time: 3ms
memory: 3784kb

input:

10 1000
perm
5 7 1 2 8 3 4 10 6 9
poly
6 5
....#
..###
.####
####.
####.
#....
poly
4 7
.....##
#######
######.
######.
perm
2 1 3 5 4 8 9 10 6 7
triang
1 2 11
1 11 12
2 3 8
2 8 11
3 4 5
3 5 6
3 6 8
6 7 8
8 9 10
8 10 11
perm
1 8 2 3 9 4 10 5 6 7
perm
4 1 7 8 2 9 3 10 5 6
perm
6 1 2 7 3 4 8 10 5 9
tr...

output:

10 1000
triang
1 2 11
1 11 12
2 3 11
3 4 8
3 8 11
4 5 8
5 6 7
5 7 8
8 9 10
8 10 11
triang
1 2 12
2 3 6
2 6 9
2 9 11
2 11 12
3 4 5
3 5 6
6 7 8
6 8 9
9 10 11
perm
3 4 5 6 9 10 1 2 7 8 
triang
1 2 12
2 3 4
2 4 5
2 5 12
5 6 7
5 7 9
5 9 11
5 11 12
7 8 9
9 10 11
poly
5 6
..####
.###..
.###..
.###..
###......

input:

10 1000
triang
1 2 11
1 11 12
2 3 11
3 4 8
3 8 11
4 5 8
5 6 7
5 7 8
8 9 10
8 10 11
triang
1 2 12
2 3 6
2 6 9
2 9 11
2 11 12
3 4 5
3 5 6
6 7 8
6 8 9
9 10 11
perm
3 4 5 6 9 10 1 2 7 8
triang
1 2 12
2 3 4
2 4 5
2 5 12
5 6 7
5 7 9
5 9 11
5 11 12
7 8 9
9 10 11
poly
5 6
..####
.###..
.###..
.###..
###...
...

output:

10 1000
perm
5 7 1 2 8 3 4 10 6 9 
poly
6 5
....#
..###
.####
####.
####.
#....
poly
4 7
.....##
#######
######.
######.
perm
2 1 3 5 4 8 9 10 6 7 
triang
1 2 11
1 11 12
2 3 8
2 8 11
3 4 5
3 5 6
3 6 8
6 7 8
8 9 10
8 10 11
perm
1 8 2 3 9 4 10 5 6 7 
perm
4 1 7 8 2 9 3 10 5 6 
perm
6 1 2 7 3 4 8 10 5 ...

result:

ok good communication process (1000 test cases)

Test #14:

score: 100
Accepted
time: 4ms
memory: 3640kb

input:

11 1000
triang
1 2 13
2 3 12
2 12 13
3 4 7
3 7 8
3 8 12
4 5 7
5 6 7
8 9 11
8 11 12
9 10 11
perm
2 1 4 3 6 5 9 10 11 7 8
poly
7 5
..###
..###
.####
.#...
##...
#....
#....
triang
1 2 4
1 4 12
1 12 13
2 3 4
4 5 11
4 11 12
5 6 11
6 7 8
6 8 11
8 9 10
8 10 11
perm
4 7 1 8 2 3 10 5 6 9 11
triang
1 2 13
2 ...

output:

11 1000
perm
5 1 6 2 8 9 3 4 7 10 11 
poly
6 6
...###
..####
..###.
.##...
##....
#.....
perm
3 1 2 8 4 5 9 6 10 11 7 
perm
2 7 8 1 3 9 4 5 11 6 10 
triang
1 2 10
1 10 13
2 3 9
2 9 10
3 4 9
4 5 6
4 6 9
6 7 9
7 8 9
10 11 13
11 12 13
perm
6 1 2 3 7 4 5 9 10 8 11 
perm
1 5 8 9 2 3 4 6 7 11 10 
triang
1...

input:

11 1000
perm
5 1 6 2 8 9 3 4 7 10 11
poly
6 6
...###
..####
..###.
.##...
##....
#.....
perm
3 1 2 8 4 5 9 6 10 11 7
perm
2 7 8 1 3 9 4 5 11 6 10
triang
1 2 10
1 10 13
2 3 9
2 9 10
3 4 9
4 5 6
4 6 9
6 7 9
7 8 9
10 11 13
11 12 13
perm
6 1 2 3 7 4 5 9 10 8 11
perm
1 5 8 9 2 3 4 6 7 11 10
triang
1 2 13...

output:

11 1000
triang
1 2 13
2 3 12
2 12 13
3 4 7
3 7 8
3 8 12
4 5 7
5 6 7
8 9 11
8 11 12
9 10 11
perm
2 1 4 3 6 5 9 10 11 7 8 
poly
7 5
..###
..###
.####
.#...
##...
#....
#....
triang
1 2 4
1 4 12
1 12 13
2 3 4
4 5 11
4 11 12
5 6 11
6 7 8
6 8 11
8 9 10
8 10 11
perm
4 7 1 8 2 3 10 5 6 9 11 
triang
1 2 13
...

result:

ok good communication process (1000 test cases)

Test #15:

score: 100
Accepted
time: 8ms
memory: 3744kb

input:

12 1000
triang
1 2 4
1 4 5
1 5 14
2 3 4
5 6 7
5 7 14
7 8 9
7 9 14
9 10 14
10 11 13
10 13 14
11 12 13
triang
1 2 12
1 12 14
2 3 4
2 4 12
4 5 11
4 11 12
5 6 11
6 7 9
6 9 11
7 8 9
9 10 11
12 13 14
perm
4 5 1 6 2 7 9 10 11 12 3 8
perm
1 2 4 6 7 3 5 9 8 10 12 11
poly
7 6
...###
.####.
.####.
.####.
####....

output:

12 1000
perm
2 3 5 1 4 7 6 10 8 9 11 12 
perm
2 7 1 9 3 11 4 5 12 6 8 10 
poly
6 7
....###
.######
.######
.######
.######
###....
poly
7 6
...###
...##.
..##..
.###..
###...
###...
###...
triang
1 2 14
2 3 9
2 9 12
2 12 13
2 13 14
3 4 8
3 8 9
4 5 8
5 6 7
5 7 8
9 10 12
10 11 12
triang
1 2 4
1 4 5
1 ...

input:

12 1000
perm
2 3 5 1 4 7 6 10 8 9 11 12
perm
2 7 1 9 3 11 4 5 12 6 8 10
poly
6 7
....###
.######
.######
.######
.######
###....
poly
7 6
...###
...##.
..##..
.###..
###...
###...
###...
triang
1 2 14
2 3 9
2 9 12
2 12 13
2 13 14
3 4 8
3 8 9
4 5 8
5 6 7
5 7 8
9 10 12
10 11 12
triang
1 2 4
1 4 5
1 5 ...

output:

12 1000
triang
1 2 4
1 4 5
1 5 14
2 3 4
5 6 7
5 7 14
7 8 9
7 9 14
9 10 14
10 11 13
10 13 14
11 12 13
triang
1 2 12
1 12 14
2 3 4
2 4 12
4 5 11
4 11 12
5 6 11
6 7 9
6 9 11
7 8 9
9 10 11
12 13 14
perm
4 5 1 6 2 7 9 10 11 12 3 8 
perm
1 2 4 6 7 3 5 9 8 10 12 11 
poly
7 6
...###
.####.
.####.
.####.
###...

result:

ok good communication process (1000 test cases)

Test #16:

score: 100
Accepted
time: 13ms
memory: 3576kb

input:

13 1000
perm
3 5 8 9 1 2 4 6 7 11 10 13 12
triang
1 2 3
1 3 15
3 4 5
3 5 10
3 10 11
3 11 15
5 6 9
5 9 10
6 7 8
6 8 9
11 12 15
12 13 15
13 14 15
poly
4 10
......####
.######...
#######...
#####.....
perm
5 1 2 3 6 4 10 7 11 12 8 13 9
poly
6 8
......##
....####
....###.
.######.
#####...
##......
poly...

output:

13 1000
poly
5 9
......###
.....##..
...####..
#####....
#####....
poly
6 8
....####
....####
..######
.#######
.###....
##......
triang
1 2 8
1 8 9
1 9 10
1 10 15
2 3 4
2 4 5
2 5 8
5 6 8
6 7 8
10 11 14
10 14 15
11 12 13
11 13 14
poly
9 5
..###
..###
..###
..##.
.##..
###..
#....
#....
#....
triang
...

input:

13 1000
poly
5 9
......###
.....##..
...####..
#####....
#####....
poly
6 8
....####
....####
..######
.#######
.###....
##......
triang
1 2 8
1 8 9
1 9 10
1 10 15
2 3 4
2 4 5
2 5 8
5 6 8
6 7 8
10 11 14
10 14 15
11 12 13
11 13 14
poly
9 5
..###
..###
..###
..##.
.##..
###..
#....
#....
#....
triang
...

output:

13 1000
perm
3 5 8 9 1 2 4 6 7 11 10 13 12 
triang
1 2 3
1 3 15
3 4 5
3 5 10
3 10 11
3 11 15
5 6 9
5 9 10
6 7 8
6 8 9
11 12 15
12 13 15
13 14 15
poly
4 10
......####
.######...
#######...
#####.....
perm
5 1 2 3 6 4 10 7 11 12 8 13 9 
poly
6 8
......##
....####
....###.
.######.
#####...
##......
po...

result:

ok good communication process (1000 test cases)

Test #17:

score: 100
Accepted
time: 7ms
memory: 3592kb

input:

14 1000
perm
5 6 1 8 2 9 3 4 11 13 14 7 10 12
triang
1 2 3
1 3 8
1 8 10
1 10 16
3 4 5
3 5 8
5 6 7
5 7 8
8 9 10
10 11 16
11 12 13
11 13 16
13 14 16
14 15 16
poly
9 6
.....#
....##
....##
..####
..####
.#####
####..
####..
#.....
triang
1 2 3
1 3 11
1 11 12
1 12 14
1 14 16
3 4 11
4 5 8
4 8 11
5 6 8
6 ...

output:

14 1000
poly
8 7
.....##
.....##
....###
...####
...####
.######
.######
###....
poly
8 7
.....##
.....##
.....#.
.....#.
..####.
.####..
####...
###....
perm
3 1 4 6 7 2 8 5 10 12 13 9 11 14 
perm
1 6 8 9 10 2 3 13 4 5 7 14 11 12 
perm
2 5 6 1 8 10 3 12 4 7 9 13 14 11 
perm
1 4 2 5 8 11 12 3 6 13 1...

input:

14 1000
poly
8 7
.....##
.....##
....###
...####
...####
.######
.######
###....
poly
8 7
.....##
.....##
.....#.
.....#.
..####.
.####..
####...
###....
perm
3 1 4 6 7 2 8 5 10 12 13 9 11 14
perm
1 6 8 9 10 2 3 13 4 5 7 14 11 12
perm
2 5 6 1 8 10 3 12 4 7 9 13 14 11
perm
1 4 2 5 8 11 12 3 6 13 14 7...

output:

14 1000
perm
5 6 1 8 2 9 3 4 11 13 14 7 10 12 
triang
1 2 3
1 3 8
1 8 10
1 10 16
3 4 5
3 5 8
5 6 7
5 7 8
8 9 10
10 11 16
11 12 13
11 13 16
13 14 16
14 15 16
poly
9 6
.....#
....##
....##
..####
..####
.#####
####..
####..
#.....
triang
1 2 3
1 3 11
1 11 12
1 12 14
1 14 16
3 4 11
4 5 8
4 8 11
5 6 8
6...

result:

ok good communication process (1000 test cases)

Test #18:

score: 100
Accepted
time: 8ms
memory: 3780kb

input:

16 1000
poly
9 8
....####
....####
....##..
....#...
..###...
.####...
.####...
####....
##......
poly
7 10
.........#
.......###
......####
..#####...
..###.....
.####.....
##........
poly
9 8
.......#
.#######
.#######
########
#####...
####....
####....
####....
#.......
triang
1 2 18
2 3 18
3 4 ...

output:

16 1000
triang
1 2 3
1 3 10
1 10 18
3 4 5
3 5 8
3 8 9
3 9 10
5 6 7
5 7 8
10 11 18
11 12 16
11 16 17
11 17 18
12 13 14
12 14 15
12 15 16
perm
1 4 2 5 3 6 9 13 7 8 10 14 11 15 12 16 
triang
1 2 18
2 3 5
2 5 6
2 6 13
2 13 14
2 14 15
2 15 17
2 17 18
3 4 5
6 7 8
6 8 12
6 12 13
8 9 12
9 10 12
10 11 12
15 ...

input:

16 1000
triang
1 2 3
1 3 10
1 10 18
3 4 5
3 5 8
3 8 9
3 9 10
5 6 7
5 7 8
10 11 18
11 12 16
11 16 17
11 17 18
12 13 14
12 14 15
12 15 16
perm
1 4 2 5 3 6 9 13 7 8 10 14 11 15 12 16
triang
1 2 18
2 3 5
2 5 6
2 6 13
2 13 14
2 14 15
2 15 17
2 17 18
3 4 5
6 7 8
6 8 12
6 12 13
8 9 12
9 10 12
10 11 12
15 1...

output:

16 1000
poly
9 8
....####
....####
....##..
....#...
..###...
.####...
.####...
####....
##......
poly
7 10
.........#
.......###
......####
..#####...
..###.....
.####.....
##........
poly
9 8
.......#
.#######
.#######
########
#####...
####....
####....
####....
#.......
triang
1 2 18
2 3 18
3 4 ...

result:

ok good communication process (1000 test cases)

Test #19:

score: 100
Accepted
time: 11ms
memory: 3624kb

input:

17 1000
perm
2 1 3 6 4 10 11 5 12 15 7 8 9 13 14 17 16
triang
1 2 5
1 5 19
2 3 5
3 4 5
5 6 7
5 7 8
5 8 18
5 18 19
8 9 11
8 11 18
9 10 11
11 12 14
11 14 15
11 15 16
11 16 18
12 13 14
16 17 18
triang
1 2 3
1 3 18
1 18 19
3 4 16
3 16 18
4 5 6
4 6 9
4 9 10
4 10 11
4 11 16
6 7 9
7 8 9
11 12 14
11 14 15
1...

output:

17 1000
poly
9 9
......###
......#..
.######..
.######..
.###.....
.##......
##.......
##.......
#........
perm
3 5 1 2 4 6 9 12 7 13 8 10 15 16 17 11 14 
poly
10 8
.......#
.....###
.....###
.....###
.#######
.######.
.######.
.####...
###.....
##......
perm
1 2 3 8 9 10 11 4 12 5 13 14 6 15 17 7 1...

input:

17 1000
poly
9 9
......###
......#..
.######..
.######..
.###.....
.##......
##.......
##.......
#........
perm
3 5 1 2 4 6 9 12 7 13 8 10 15 16 17 11 14
poly
10 8
.......#
.....###
.....###
.....###
.#######
.######.
.######.
.####...
###.....
##......
perm
1 2 3 8 9 10 11 4 12 5 13 14 6 15 17 7 16...

output:

17 1000
perm
2 1 3 6 4 10 11 5 12 15 7 8 9 13 14 17 16 
triang
1 2 5
1 5 19
2 3 5
3 4 5
5 6 7
5 7 8
5 8 18
5 18 19
8 9 11
8 11 18
9 10 11
11 12 14
11 14 15
11 15 16
11 16 18
12 13 14
16 17 18
triang
1 2 3
1 3 18
1 18 19
3 4 16
3 16 18
4 5 6
4 6 9
4 9 10
4 10 11
4 11 16
6 7 9
7 8 9
11 12 14
11 14 15
...

result:

ok good communication process (1000 test cases)

Test #20:

score: 100
Accepted
time: 12ms
memory: 3656kb

input:

18 1000
triang
1 2 17
1 17 19
1 19 20
2 3 4
2 4 11
2 11 13
2 13 17
4 5 6
4 6 9
4 9 10
4 10 11
6 7 9
7 8 9
11 12 13
13 14 15
13 15 16
13 16 17
17 18 19
poly
10 9
......###
......###
....####.
....####.
#####....
###......
##.......
#........
#........
#........
triang
1 2 3
1 3 11
1 11 20
3 4 5
3 5 1...

output:

18 1000
perm
2 4 7 1 8 9 11 3 13 14 16 5 6 10 12 17 18 15 
perm
5 1 2 3 6 9 4 12 7 8 10 16 17 18 11 13 14 15 
poly
12 7
.....##
....##.
....##.
....##.
....##.
....#..
...##..
...##..
..###..
.####..
####...
##.....
perm
15 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 18 
perm
5 1 8 10 2 11 3 4 12 13 6 7 ...

input:

18 1000
perm
2 4 7 1 8 9 11 3 13 14 16 5 6 10 12 17 18 15
perm
5 1 2 3 6 9 4 12 7 8 10 16 17 18 11 13 14 15
poly
12 7
.....##
....##.
....##.
....##.
....##.
....#..
...##..
...##..
..###..
.####..
####...
##.....
perm
15 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 18
perm
5 1 8 10 2 11 3 4 12 13 6 7 14 ...

output:

18 1000
triang
1 2 17
1 17 19
1 19 20
2 3 4
2 4 11
2 11 13
2 13 17
4 5 6
4 6 9
4 9 10
4 10 11
6 7 9
7 8 9
11 12 13
13 14 15
13 15 16
13 16 17
17 18 19
poly
10 9
......###
......###
....####.
....####.
#####....
###......
##.......
#........
#........
#........
triang
1 2 3
1 3 11
1 11 20
3 4 5
3 5 1...

result:

ok good communication process (1000 test cases)

Test #21:

score: 100
Accepted
time: 12ms
memory: 3796kb

input:

19 1000
poly
12 8
.......#
.......#
......##
....###.
....###.
.####...
.###....
####....
##......
##......
##......
##......
poly
10 10
........##
........#.
.......##.
.......#..
...#####..
..####....
.####.....
.##.......
###.......
###.......
poly
9 11
.........##
....#######
...########
...####...

output:

19 1000
perm
4 6 7 1 2 3 5 8 10 12 9 11 13 14 17 15 16 18 19 
perm
1 4 6 8 2 3 5 9 12 7 15 10 11 13 14 19 16 17 18 
perm
4 5 1 7 2 8 10 3 11 6 15 16 18 9 19 12 13 14 17 
poly
9 11
........###
........###
......#####
.....######
..#########
..########.
#######....
#######....
#######....
triang
1 2 4...

input:

19 1000
perm
4 6 7 1 2 3 5 8 10 12 9 11 13 14 17 15 16 18 19
perm
1 4 6 8 2 3 5 9 12 7 15 10 11 13 14 19 16 17 18
perm
4 5 1 7 2 8 10 3 11 6 15 16 18 9 19 12 13 14 17
poly
9 11
........###
........###
......#####
.....######
..#########
..########.
#######....
#######....
#######....
triang
1 2 4
1 ...

output:

19 1000
poly
12 8
.......#
.......#
......##
....###.
....###.
.####...
.###....
####....
##......
##......
##......
##......
poly
10 10
........##
........#.
.......##.
.......#..
...#####..
..####....
.####.....
.##.......
###.......
###.......
poly
9 11
.........##
....#######
...########
...####...

result:

ok good communication process (1000 test cases)

Test #22:

score: 100
Accepted
time: 17ms
memory: 3796kb

input:

20 1000
triang
1 2 3
1 3 21
1 21 22
3 4 17
3 17 18
3 18 19
3 19 20
3 20 21
4 5 10
4 10 11
4 11 17
5 6 10
6 7 9
6 9 10
7 8 9
11 12 13
11 13 16
11 16 17
13 14 15
13 15 16
triang
1 2 4
1 4 5
1 5 14
1 14 21
1 21 22
2 3 4
5 6 13
5 13 14
6 7 10
6 10 11
6 11 13
7 8 9
7 9 10
11 12 13
14 15 16
14 16 21
16 17...

output:

20 1000
perm
1 7 8 2 9 12 13 14 3 15 16 4 5 17 6 10 18 20 11 19 
poly
10 11
..........#
........###
.......###.
...######..
..######...
.######....
#######....
###........
###........
###........
poly
8 13
...........##
...........##
.....#######.
..##########.
.#########...
.######......
.##..........

input:

20 1000
perm
1 7 8 2 9 12 13 14 3 15 16 4 5 17 6 10 18 20 11 19
poly
10 11
..........#
........###
.......###.
...######..
..######...
.######....
#######....
###........
###........
###........
poly
8 13
...........##
...........##
.....#######.
..##########.
.#########...
.######......
.##...........

output:

20 1000
triang
1 2 3
1 3 21
1 21 22
3 4 17
3 17 18
3 18 19
3 19 20
3 20 21
4 5 10
4 10 11
4 11 17
5 6 10
6 7 9
6 9 10
7 8 9
11 12 13
11 13 16
11 16 17
13 14 15
13 15 16
triang
1 2 4
1 4 5
1 5 14
1 14 21
1 21 22
2 3 4
5 6 13
5 13 14
6 7 10
6 10 11
6 11 13
7 8 9
7 9 10
11 12 13
14 15 16
14 16 21
16 17...

result:

ok good communication process (1000 test cases)

Test #23:

score: 100
Accepted
time: 18ms
memory: 3804kb

input:

21 1000
perm
2 5 1 3 6 4 12 7 16 8 9 10 11 13 18 14 15 19 17 21 20
triang
1 2 3
1 3 21
1 21 22
1 22 23
3 4 5
3 5 7
3 7 8
3 8 16
3 16 17
3 17 21
5 6 7
8 9 16
9 10 16
10 11 13
10 13 15
10 15 16
11 12 13
13 14 15
17 18 19
17 19 21
19 20 21
perm
6 1 7 9 10 2 11 3 13 16 4 5 8 17 19 12 20 14 15 18 21
tria...

output:

21 1000
triang
1 2 4
1 4 23
2 3 4
4 5 8
4 8 23
5 6 7
5 7 8
8 9 14
8 14 23
9 10 14
10 11 14
11 12 14
12 13 14
14 15 22
14 22 23
15 16 22
16 17 18
16 18 22
18 19 22
19 20 21
19 21 22
poly
12 10
......####
...######.
...#####..
...#####..
...####...
...####...
..####....
.#####....
.#####....
.#####......

input:

21 1000
triang
1 2 4
1 4 23
2 3 4
4 5 8
4 8 23
5 6 7
5 7 8
8 9 14
8 14 23
9 10 14
10 11 14
11 12 14
12 13 14
14 15 22
14 22 23
15 16 22
16 17 18
16 18 22
18 19 22
19 20 21
19 21 22
poly
12 10
......####
...######.
...#####..
...#####..
...####...
...####...
..####....
.#####....
.#####....
.#####......

output:

21 1000
perm
2 5 1 3 6 4 12 7 16 8 9 10 11 13 18 14 15 19 17 21 20 
triang
1 2 3
1 3 21
1 21 22
1 22 23
3 4 5
3 5 7
3 7 8
3 8 16
3 16 17
3 17 21
5 6 7
8 9 16
9 10 16
10 11 13
10 13 15
10 15 16
11 12 13
13 14 15
17 18 19
17 19 21
19 20 21
perm
6 1 7 9 10 2 11 3 13 16 4 5 8 17 19 12 20 14 15 18 21 
tr...

result:

ok good communication process (1000 test cases)

Test #24:

score: 100
Accepted
time: 12ms
memory: 3604kb

input:

22 1000
poly
11 12
.........###
.......#####
.....######.
.....#####..
.....###....
.....##.....
...###......
..####......
.####.......
.####.......
###.........
perm
1 7 2 9 3 4 10 12 14 17 5 6 19 8 11 13 20 21 15 16 18 22
perm
2 4 5 10 1 13 3 6 14 7 16 8 18 9 19 11 12 21 15 17 22 20
poly
11 12
......

output:

22 1000
perm
4 5 1 7 2 8 3 9 6 12 10 15 17 11 20 21 13 14 22 16 18 19 
triang
1 2 3
1 3 24
3 4 23
3 23 24
4 5 23
5 6 11
5 11 12
5 12 14
5 14 22
5 22 23
6 7 11
7 8 9
7 9 11
9 10 11
12 13 14
14 15 16
14 16 19
14 19 22
16 17 19
17 18 19
19 20 22
20 21 22
triang
1 2 6
1 6 7
1 7 22
1 22 24
2 3 4
2 4 6
4 ...

input:

22 1000
perm
4 5 1 7 2 8 3 9 6 12 10 15 17 11 20 21 13 14 22 16 18 19
triang
1 2 3
1 3 24
3 4 23
3 23 24
4 5 23
5 6 11
5 11 12
5 12 14
5 14 22
5 22 23
6 7 11
7 8 9
7 9 11
9 10 11
12 13 14
14 15 16
14 16 19
14 19 22
16 17 19
17 18 19
19 20 22
20 21 22
triang
1 2 6
1 6 7
1 7 22
1 22 24
2 3 4
2 4 6
4 5...

output:

22 1000
poly
11 12
.........###
.......#####
.....######.
.....#####..
.....###....
.....##.....
...###......
..####......
.####.......
.####.......
###.........
perm
1 7 2 9 3 4 10 12 14 17 5 6 19 8 11 13 20 21 15 16 18 22 
perm
2 4 5 10 1 13 3 6 14 7 16 8 18 9 19 11 12 21 15 17 22 20 
poly
11 12
....

result:

ok good communication process (1000 test cases)

Test #25:

score: 100
Accepted
time: 18ms
memory: 3656kb

input:

23 1000
triang
1 2 3
1 3 25
3 4 10
3 10 11
3 11 14
3 14 15
3 15 16
3 16 19
3 19 21
3 21 25
4 5 7
4 7 8
4 8 10
5 6 7
8 9 10
11 12 14
12 13 14
16 17 19
17 18 19
19 20 21
21 22 23
21 23 24
21 24 25
poly
16 8
....####
....####
....####
....####
....####
....####
....####
....####
....####
...####.
.####...

output:

23 1000
poly
9 15
............###
..........###..
..........##...
..##########...
.###########...
.###########...
.#########.....
.########......
##.............
perm
2 1 3 5 7 16 4 18 19 6 8 20 9 21 10 11 22 23 12 13 14 15 17 
poly
14 10
.........#
.......###
.......###
.......###
.......###
.........

input:

23 1000
poly
9 15
............###
..........###..
..........##...
..##########...
.###########...
.###########...
.#########.....
.########......
##.............
perm
2 1 3 5 7 16 4 18 19 6 8 20 9 21 10 11 22 23 12 13 14 15 17
poly
14 10
.........#
.......###
.......###
.......###
.......###
..........

output:

23 1000
triang
1 2 3
1 3 25
3 4 10
3 10 11
3 11 14
3 14 15
3 15 16
3 16 19
3 19 21
3 21 25
4 5 7
4 7 8
4 8 10
5 6 7
8 9 10
11 12 14
12 13 14
16 17 19
17 18 19
19 20 21
21 22 23
21 23 24
21 24 25
poly
16 8
....####
....####
....####
....####
....####
....####
....####
....####
....####
...####.
.####...

result:

ok good communication process (1000 test cases)

Test #26:

score: 100
Accepted
time: 11ms
memory: 3800kb

input:

24 1000
triang
1 2 3
1 3 11
1 11 17
1 17 18
1 18 19
1 19 21
1 21 26
3 4 11
4 5 6
4 6 7
4 7 11
7 8 9
7 9 10
7 10 11
11 12 13
11 13 15
11 15 17
13 14 15
15 16 17
19 20 21
21 22 24
21 24 25
21 25 26
22 23 24
triang
1 2 3
1 3 9
1 9 26
3 4 5
3 5 9
5 6 9
6 7 9
7 8 9
9 10 26
10 11 12
10 12 15
10 15 17
10 1...

output:

24 1000
perm
1 4 5 7 8 9 11 2 3 13 15 6 16 17 10 19 21 12 14 18 20 22 23 24 
poly
11 14
.............#
...........###
..........####
.........##...
......####....
.....####.....
.....###......
.....#........
.#####........
###...........
##............
perm
5 1 2 8 10 11 12 3 4 14 15 16 17 6 7 9 13 ...

input:

24 1000
perm
1 4 5 7 8 9 11 2 3 13 15 6 16 17 10 19 21 12 14 18 20 22 23 24
poly
11 14
.............#
...........###
..........####
.........##...
......####....
.....####.....
.....###......
.....#........
.#####........
###...........
##............
perm
5 1 2 8 10 11 12 3 4 14 15 16 17 6 7 9 13 1...

output:

24 1000
triang
1 2 3
1 3 11
1 11 17
1 17 18
1 18 19
1 19 21
1 21 26
3 4 11
4 5 6
4 6 7
4 7 11
7 8 9
7 9 10
7 10 11
11 12 13
11 13 15
11 15 17
13 14 15
15 16 17
19 20 21
21 22 24
21 24 25
21 25 26
22 23 24
triang
1 2 3
1 3 9
1 9 26
3 4 5
3 5 9
5 6 9
6 7 9
7 8 9
9 10 26
10 11 12
10 12 15
10 15 17
10 1...

result:

ok good communication process (1000 test cases)

Test #27:

score: 100
Accepted
time: 11ms
memory: 3676kb

input:

25 1000
poly
16 10
.........#
........##
......####
.....#####
....######
...#######
...#######
...######.
...######.
..####....
..####....
..###.....
..###.....
####......
###.......
##........
triang
1 2 6
1 6 7
1 7 8
1 8 11
1 11 13
1 13 14
1 14 18
1 18 19
1 19 25
1 25 27
2 3 4
2 4 5
2 5 6
8 9 11
...

output:

25 1000
triang
1 2 5
1 5 26
1 26 27
2 3 4
2 4 5
5 6 24
5 24 26
6 7 9
6 9 22
6 22 24
7 8 9
9 10 21
9 21 22
10 11 21
11 12 15
11 15 19
11 19 20
11 20 21
12 13 14
12 14 15
15 16 17
15 17 19
17 18 19
22 23 24
24 25 26
perm
2 3 4 5 6 9 11 12 15 16 1 17 21 7 8 10 13 14 22 18 24 19 20 25 23 
poly
16 10
......

input:

25 1000
triang
1 2 5
1 5 26
1 26 27
2 3 4
2 4 5
5 6 24
5 24 26
6 7 9
6 9 22
6 22 24
7 8 9
9 10 21
9 21 22
10 11 21
11 12 15
11 15 19
11 19 20
11 20 21
12 13 14
12 14 15
15 16 17
15 17 19
17 18 19
22 23 24
24 25 26
perm
2 3 4 5 6 9 11 12 15 16 1 17 21 7 8 10 13 14 22 18 24 19 20 25 23
poly
16 10
.......

output:

25 1000
poly
16 10
.........#
........##
......####
.....#####
....######
...#######
...#######
...######.
...######.
..####....
..####....
..###.....
..###.....
####......
###.......
##........
triang
1 2 6
1 6 7
1 7 8
1 8 11
1 11 13
1 13 14
1 14 18
1 18 19
1 19 25
1 25 27
2 3 4
2 4 5
2 5 6
8 9 11
...

result:

ok good communication process (1000 test cases)

Test #28:

score: 100
Accepted
time: 25ms
memory: 3800kb

input:

26 1000
triang
1 2 28
2 3 5
2 5 6
2 6 28
3 4 5
6 7 8
6 8 10
6 10 28
8 9 10
10 11 22
10 22 25
10 25 27
10 27 28
11 12 13
11 13 15
11 15 22
13 14 15
15 16 21
15 21 22
16 17 20
16 20 21
17 18 19
17 19 20
22 23 25
23 24 25
25 26 27
poly
14 13
..........###
.........####
......#######
......######.
....#...

output:

26 1000
perm
3 1 4 6 2 5 8 11 7 9 13 17 18 10 19 20 12 14 24 15 25 16 26 21 22 23 
triang
1 2 28
2 3 28
3 4 26
3 26 28
4 5 12
4 12 24
4 24 25
4 25 26
5 6 12
6 7 8
6 8 10
6 10 12
8 9 10
10 11 12
12 13 14
12 14 15
12 15 24
15 16 17
15 17 19
15 19 20
15 20 24
17 18 19
20 21 23
20 23 24
21 22 23
26 27 2...

input:

26 1000
perm
3 1 4 6 2 5 8 11 7 9 13 17 18 10 19 20 12 14 24 15 25 16 26 21 22 23
triang
1 2 28
2 3 28
3 4 26
3 26 28
4 5 12
4 12 24
4 24 25
4 25 26
5 6 12
6 7 8
6 8 10
6 10 12
8 9 10
10 11 12
12 13 14
12 14 15
12 15 24
15 16 17
15 17 19
15 19 20
15 20 24
17 18 19
20 21 23
20 23 24
21 22 23
26 27 28...

output:

26 1000
triang
1 2 28
2 3 5
2 5 6
2 6 28
3 4 5
6 7 8
6 8 10
6 10 28
8 9 10
10 11 22
10 22 25
10 25 27
10 27 28
11 12 13
11 13 15
11 15 22
13 14 15
15 16 21
15 21 22
16 17 20
16 20 21
17 18 19
17 19 20
22 23 25
23 24 25
25 26 27
poly
14 13
..........###
.........####
......#######
......######.
....#...

result:

ok good communication process (1000 test cases)

Test #29:

score: 100
Accepted
time: 19ms
memory: 3668kb

input:

27 1000
perm
2 4 7 1 10 14 15 3 5 6 8 9 11 18 20 23 24 12 25 13 16 17 19 21 27 22 26
poly
13 15
.............##
.............##
...........###.
...........###.
...........##..
.......######..
.......######..
.......####....
......#####....
..#########....
..#########....
.#######.......
#####..........

output:

27 1000
triang
1 2 12
1 12 28
1 28 29
2 3 4
2 4 6
2 6 9
2 9 12
4 5 6
6 7 9
7 8 9
9 10 12
10 11 12
12 13 17
12 17 20
12 20 22
12 22 27
12 27 28
13 14 16
13 16 17
14 15 16
17 18 20
18 19 20
20 21 22
22 23 24
22 24 27
24 25 26
24 26 27
triang
1 2 26
1 26 29
2 3 19
2 19 24
2 24 26
3 4 9
3 9 19
4 5 8
4 8...

input:

27 1000
triang
1 2 12
1 12 28
1 28 29
2 3 4
2 4 6
2 6 9
2 9 12
4 5 6
6 7 9
7 8 9
9 10 12
10 11 12
12 13 17
12 17 20
12 20 22
12 22 27
12 27 28
13 14 16
13 16 17
14 15 16
17 18 20
18 19 20
20 21 22
22 23 24
22 24 27
24 25 26
24 26 27
triang
1 2 26
1 26 29
2 3 19
2 19 24
2 24 26
3 4 9
3 9 19
4 5 8
4 8...

output:

27 1000
perm
2 4 7 1 10 14 15 3 5 6 8 9 11 18 20 23 24 12 25 13 16 17 19 21 27 22 26 
poly
13 15
.............##
.............##
...........###.
...........###.
...........##..
.......######..
.......######..
.......####....
......#####....
..#########....
..#########....
.#######.......
#####.........

result:

ok good communication process (1000 test cases)

Test #30:

score: 100
Accepted
time: 22ms
memory: 3668kb

input:

28 1000
poly
13 16
............####
........######..
......#######...
......#######...
....#########...
....#######.....
....#######.....
....#####.......
....##..........
..####..........
..###...........
.####...........
####............
triang
1 2 3
1 3 6
1 6 7
1 7 9
1 9 10
1 10 11
1 11 15
1 15 3...

output:

28 1000
triang
1 2 29
1 29 30
2 3 4
2 4 8
2 8 29
4 5 6
4 6 7
4 7 8
8 9 24
8 24 29
9 10 24
10 11 12
10 12 13
10 13 21
10 21 22
10 22 23
10 23 24
13 14 15
13 15 16
13 16 17
13 17 21
17 18 19
17 19 20
17 20 21
24 25 26
24 26 29
26 27 28
26 28 29
poly
12 17
...............##
...........######
........##...

input:

28 1000
triang
1 2 29
1 29 30
2 3 4
2 4 8
2 8 29
4 5 6
4 6 7
4 7 8
8 9 24
8 24 29
9 10 24
10 11 12
10 12 13
10 13 21
10 21 22
10 22 23
10 23 24
13 14 15
13 15 16
13 16 17
13 17 21
17 18 19
17 19 20
17 20 21
24 25 26
24 26 29
26 27 28
26 28 29
poly
12 17
...............##
...........######
........##...

output:

28 1000
poly
13 16
............####
........######..
......#######...
......#######...
....#########...
....#######.....
....#######.....
....#####.......
....##..........
..####..........
..###...........
.####...........
####............
triang
1 2 3
1 3 6
1 6 7
1 7 9
1 9 10
1 10 11
1 11 15
1 15 3...

result:

ok good communication process (1000 test cases)

Test #31:

score: 100
Accepted
time: 24ms
memory: 3672kb

input:

29 1000
perm
1 4 2 3 5 6 8 13 7 9 18 20 10 23 11 12 14 15 16 17 19 21 24 26 22 27 28 25 29
poly
11 19
................###
.............####..
......########.....
.....########......
....########.......
..##########.......
..########.........
.#######...........
.######............
######...............

output:

29 1000
triang
1 2 3
1 3 31
3 4 31
4 5 6
4 6 7
4 7 8
4 8 10
4 10 31
8 9 10
10 11 20
10 20 22
10 22 31
11 12 15
11 15 20
12 13 15
13 14 15
15 16 20
16 17 20
17 18 20
18 19 20
20 21 22
22 23 29
22 29 30
22 30 31
23 24 25
23 25 26
23 26 29
26 27 29
27 28 29
perm
2 5 6 8 1 10 13 14 15 3 4 16 7 18 9 19 2...

input:

29 1000
triang
1 2 3
1 3 31
3 4 31
4 5 6
4 6 7
4 7 8
4 8 10
4 10 31
8 9 10
10 11 20
10 20 22
10 22 31
11 12 15
11 15 20
12 13 15
13 14 15
15 16 20
16 17 20
17 18 20
18 19 20
20 21 22
22 23 29
22 29 30
22 30 31
23 24 25
23 25 26
23 26 29
26 27 29
27 28 29
perm
2 5 6 8 1 10 13 14 15 3 4 16 7 18 9 19 2...

output:

29 1000
perm
1 4 2 3 5 6 8 13 7 9 18 20 10 23 11 12 14 15 16 17 19 21 24 26 22 27 28 25 29 
poly
11 19
................###
.............####..
......########.....
.....########......
....########.......
..##########.......
..########.........
.#######...........
.######............
######..............

result:

ok good communication process (1000 test cases)

Test #32:

score: 100
Accepted
time: 22ms
memory: 3536kb

input:

30 1000
perm
3 5 6 10 11 12 1 2 14 4 7 16 8 19 24 9 13 15 25 26 17 18 27 28 29 20 21 22 30 23
poly
11 20
................####
...............##...
........#########...
........#######.....
.......######.......
.....#######........
.....#####..........
.....####...........
.....##.............
.#####...

output:

30 1000
triang
1 2 7
1 7 8
1 8 16
1 16 30
1 30 31
1 31 32
2 3 7
3 4 5
3 5 7
5 6 7
8 9 14
8 14 16
9 10 12
9 12 13
9 13 14
10 11 12
14 15 16
16 17 18
16 18 29
16 29 30
18 19 29
19 20 21
19 21 27
19 27 28
19 28 29
21 22 27
22 23 27
23 24 25
23 25 27
25 26 27
perm
3 4 1 9 10 2 5 6 12 7 8 14 16 17 11 20 ...

input:

30 1000
triang
1 2 7
1 7 8
1 8 16
1 16 30
1 30 31
1 31 32
2 3 7
3 4 5
3 5 7
5 6 7
8 9 14
8 14 16
9 10 12
9 12 13
9 13 14
10 11 12
14 15 16
16 17 18
16 18 29
16 29 30
18 19 29
19 20 21
19 21 27
19 27 28
19 28 29
21 22 27
22 23 27
23 24 25
23 25 27
25 26 27
perm
3 4 1 9 10 2 5 6 12 7 8 14 16 17 11 20 ...

output:

30 1000
perm
3 5 6 10 11 12 1 2 14 4 7 16 8 19 24 9 13 15 25 26 17 18 27 28 29 20 21 22 30 23 
poly
11 20
................####
...............##...
........#########...
........#######.....
.......######.......
.....#######........
.....#####..........
.....####...........
.....##.............
.####...

result:

ok good communication process (1000 test cases)

Test #33:

score: 100
Accepted
time: 33ms
memory: 3672kb

input:

32 1000
perm
1 6 2 7 3 4 8 11 12 13 15 16 19 20 21 5 23 9 10 24 14 25 26 28 30 17 31 32 18 22 27 29
triang
1 2 29
1 29 34
2 3 13
2 13 14
2 14 15
2 15 18
2 18 19
2 19 22
2 22 24
2 24 29
3 4 13
4 5 10
4 10 11
4 11 12
4 12 13
5 6 7
5 7 9
5 9 10
7 8 9
15 16 17
15 17 18
19 20 22
20 21 22
22 23 24
24 25 2...

output:

32 1000
triang
1 2 3
1 3 34
3 4 33
3 33 34
4 5 33
5 6 9
5 9 10
5 10 14
5 14 15
5 15 26
5 26 27
5 27 28
5 28 30
5 30 31
5 31 33
6 7 8
6 8 9
10 11 14
11 12 13
11 13 14
15 16 17
15 17 18
15 18 23
15 23 25
15 25 26
18 19 21
18 21 22
18 22 23
19 20 21
23 24 25
28 29 30
31 32 33
poly
16 17
..................

input:

32 1000
triang
1 2 3
1 3 34
3 4 33
3 33 34
4 5 33
5 6 9
5 9 10
5 10 14
5 14 15
5 15 26
5 26 27
5 27 28
5 28 30
5 30 31
5 31 33
6 7 8
6 8 9
10 11 14
11 12 13
11 13 14
15 16 17
15 17 18
15 18 23
15 23 25
15 25 26
18 19 21
18 21 22
18 22 23
19 20 21
23 24 25
28 29 30
31 32 33
poly
16 17
..................

output:

32 1000
perm
1 6 2 7 3 4 8 11 12 13 15 16 19 20 21 5 23 9 10 24 14 25 26 28 30 17 31 32 18 22 27 29 
triang
1 2 29
1 29 34
2 3 13
2 13 14
2 14 15
2 15 18
2 18 19
2 19 22
2 22 24
2 24 29
3 4 13
4 5 10
4 10 11
4 11 12
4 12 13
5 6 7
5 7 9
5 9 10
7 8 9
15 16 17
15 17 18
19 20 22
20 21 22
22 23 24
24 25 ...

result:

ok good communication process (1000 test cases)

Test #34:

score: 100
Accepted
time: 33ms
memory: 3692kb

input:

33 1000
triang
1 2 28
1 28 35
2 3 28
3 4 5
3 5 23
3 23 24
3 24 28
5 6 7
5 7 23
7 8 16
7 16 19
7 19 20
7 20 23
8 9 10
8 10 15
8 15 16
10 11 13
10 13 15
11 12 13
13 14 15
16 17 18
16 18 19
20 21 22
20 22 23
24 25 26
24 26 28
26 27 28
28 29 31
28 31 35
29 30 31
31 32 33
31 33 35
33 34 35
perm
2 3 5 6 7...

output:

33 1000
perm
3 5 1 2 8 11 13 4 14 6 16 17 18 7 20 21 9 22 10 12 15 24 19 26 23 29 25 27 32 28 30 33 31 
triang
1 2 4
1 4 5
1 5 6
1 6 8
1 8 9
1 9 10
1 10 11
1 11 12
1 12 13
1 13 14
1 14 15
1 15 16
1 16 17
1 17 18
1 18 19
1 19 20
1 20 21
1 21 22
1 22 23
1 23 24
1 24 25
1 25 26
1 26 27
1 27 28
1 28 29
...

input:

33 1000
perm
3 5 1 2 8 11 13 4 14 6 16 17 18 7 20 21 9 22 10 12 15 24 19 26 23 29 25 27 32 28 30 33 31
triang
1 2 4
1 4 5
1 5 6
1 6 8
1 8 9
1 9 10
1 10 11
1 11 12
1 12 13
1 13 14
1 14 15
1 15 16
1 16 17
1 17 18
1 18 19
1 19 20
1 20 21
1 21 22
1 22 23
1 23 24
1 24 25
1 25 26
1 26 27
1 27 28
1 28 29
1...

output:

33 1000
triang
1 2 28
1 28 35
2 3 28
3 4 5
3 5 23
3 23 24
3 24 28
5 6 7
5 7 23
7 8 16
7 16 19
7 19 20
7 20 23
8 9 10
8 10 15
8 15 16
10 11 13
10 13 15
11 12 13
13 14 15
16 17 18
16 18 19
20 21 22
20 22 23
24 25 26
24 26 28
26 27 28
28 29 31
28 31 35
29 30 31
31 32 33
31 33 35
33 34 35
perm
2 3 5 6 7...

result:

ok good communication process (1000 test cases)

Test #35:

score: 100
Accepted
time: 24ms
memory: 3688kb

input:

34 1000
triang
1 2 36
2 3 36
3 4 34
3 34 36
4 5 6
4 6 32
4 32 33
4 33 34
6 7 8
6 8 10
6 10 11
6 11 12
6 12 13
6 13 32
8 9 10
13 14 18
13 18 32
14 15 18
15 16 18
16 17 18
18 19 20
18 20 22
18 22 23
18 23 32
20 21 22
23 24 32
24 25 32
25 26 31
25 31 32
26 27 29
26 29 30
26 30 31
27 28 29
34 35 36
poly...

output:

34 1000
poly
18 17
.............####
............#####
............#####
............#####
.......#########.
.......########..
......######.....
......#####......
......###........
......###........
..#######........
..#######........
..######.........
.#######.........
.######..........
####..........

input:

34 1000
poly
18 17
.............####
............#####
............#####
............#####
.......#########.
.......########..
......######.....
......#####......
......###........
......###........
..#######........
..#######........
..######.........
.#######.........
.######..........
####..........

output:

34 1000
triang
1 2 36
2 3 36
3 4 34
3 34 36
4 5 6
4 6 32
4 32 33
4 33 34
6 7 8
6 8 10
6 10 11
6 11 12
6 12 13
6 13 32
8 9 10
13 14 18
13 18 32
14 15 18
15 16 18
16 17 18
18 19 20
18 20 22
18 22 23
18 23 32
20 21 22
23 24 32
24 25 32
25 26 31
25 31 32
26 27 29
26 29 30
26 30 31
27 28 29
34 35 36
poly...

result:

ok good communication process (1000 test cases)

Test #36:

score: 100
Accepted
time: 24ms
memory: 3780kb

input:

35 1000
poly
19 17
.............####
..........#######
..........######.
..........####...
..........####...
.........#####...
.........#####...
.........#####...
.........#####...
........####.....
........####.....
........##.......
......####.......
.#########.......
##...............
#.............

output:

35 1000
perm
5 1 2 3 4 13 6 20 7 8 9 10 11 25 26 12 14 15 16 27 17 30 18 19 31 33 34 21 22 23 24 28 29 35 32 
triang
1 2 37
2 3 5
2 5 7
2 7 35
2 35 36
2 36 37
3 4 5
5 6 7
7 8 9
7 9 11
7 11 33
7 33 34
7 34 35
9 10 11
11 12 27
11 27 33
12 13 14
12 14 26
12 26 27
14 15 18
14 18 19
14 19 26
15 16 17
15 ...

input:

35 1000
perm
5 1 2 3 4 13 6 20 7 8 9 10 11 25 26 12 14 15 16 27 17 30 18 19 31 33 34 21 22 23 24 28 29 35 32
triang
1 2 37
2 3 5
2 5 7
2 7 35
2 35 36
2 36 37
3 4 5
5 6 7
7 8 9
7 9 11
7 11 33
7 33 34
7 34 35
9 10 11
11 12 27
11 27 33
12 13 14
12 14 26
12 26 27
14 15 18
14 18 19
14 19 26
15 16 17
15 1...

output:

35 1000
poly
19 17
.............####
..........#######
..........######.
..........####...
..........####...
.........#####...
.........#####...
.........#####...
.........#####...
........####.....
........####.....
........##.......
......####.......
.#########.......
##...............
#.............

result:

ok good communication process (1000 test cases)

Test #37:

score: 100
Accepted
time: 22ms
memory: 3612kb

input:

35 1000
triang
1 2 6
1 6 9
1 9 31
1 31 37
2 3 6
3 4 6
4 5 6
6 7 8
6 8 9
9 10 12
9 12 31
10 11 12
12 13 14
12 14 30
12 30 31
14 15 17
14 17 18
14 18 23
14 23 30
15 16 17
18 19 22
18 22 23
19 20 21
19 21 22
23 24 26
23 26 27
23 27 30
24 25 26
27 28 29
27 29 30
31 32 33
31 33 34
31 34 35
31 35 36
31 36...

output:

35 1000
poly
16 20
................####
................####
..............###...
.............####...
.............###....
.............###....
...........#####....
...........####.....
........#######.....
........######......
.......######.......
......####..........
......##............
....####...

input:

35 1000
poly
16 20
................####
................####
..............###...
.............####...
.............###....
.............###....
...........#####....
...........####.....
........#######.....
........######......
.......######.......
......####..........
......##............
....####...

output:

35 1000
triang
1 2 6
1 6 9
1 9 31
1 31 37
2 3 6
3 4 6
4 5 6
6 7 8
6 8 9
9 10 12
9 12 31
10 11 12
12 13 14
12 14 30
12 30 31
14 15 17
14 17 18
14 18 23
14 23 30
15 16 17
18 19 22
18 22 23
19 20 21
19 21 22
23 24 26
23 26 27
23 27 30
24 25 26
27 28 29
27 29 30
31 32 33
31 33 34
31 34 35
31 35 36
31 36...

result:

ok good communication process (1000 test cases)

Test #38:

score: 100
Accepted
time: 25ms
memory: 3692kb

input:

35 1000
perm
1 2 6 3 4 10 11 5 7 13 16 8 9 12 17 14 15 21 22 24 18 19 27 20 23 31 25 26 32 35 28 29 30 33 34
triang
1 2 4
1 4 31
1 31 32
1 32 35
1 35 37
2 3 4
4 5 6
4 6 7
4 7 8
4 8 31
8 9 31
9 10 30
9 30 31
10 11 30
11 12 15
11 15 16
11 16 17
11 17 28
11 28 29
11 29 30
12 13 15
13 14 15
17 18 19
17 ...

output:

35 1000
triang
1 2 3
1 3 4
1 4 37
4 5 37
5 6 8
5 8 36
5 36 37
6 7 8
8 9 12
8 12 13
8 13 36
9 10 12
10 11 12
13 14 15
13 15 36
15 16 36
16 17 18
16 18 19
16 19 24
16 24 36
19 20 24
20 21 23
20 23 24
21 22 23
24 25 26
24 26 36
26 27 36
27 28 29
27 29 32
27 32 36
29 30 32
30 31 32
32 33 34
32 34 35
32 ...

input:

35 1000
triang
1 2 3
1 3 4
1 4 37
4 5 37
5 6 8
5 8 36
5 36 37
6 7 8
8 9 12
8 12 13
8 13 36
9 10 12
10 11 12
13 14 15
13 15 36
15 16 36
16 17 18
16 18 19
16 19 24
16 24 36
19 20 24
20 21 23
20 23 24
21 22 23
24 25 26
24 26 36
26 27 36
27 28 29
27 29 32
27 32 36
29 30 32
30 31 32
32 33 34
32 34 35
32 ...

output:

35 1000
perm
1 2 6 3 4 10 11 5 7 13 16 8 9 12 17 14 15 21 22 24 18 19 27 20 23 31 25 26 32 35 28 29 30 33 34 
triang
1 2 4
1 4 31
1 31 32
1 32 35
1 35 37
2 3 4
4 5 6
4 6 7
4 7 8
4 8 31
8 9 31
9 10 30
9 30 31
10 11 30
11 12 15
11 15 16
11 16 17
11 17 28
11 28 29
11 29 30
12 13 15
13 14 15
17 18 19
17...

result:

ok good communication process (1000 test cases)

Test #39:

score: 100
Accepted
time: 24ms
memory: 3652kb

input:

35 1000
triang
1 2 33
1 33 34
1 34 37
2 3 29
2 29 30
2 30 33
3 4 11
3 11 29
4 5 6
4 6 7
4 7 9
4 9 11
7 8 9
9 10 11
11 12 13
11 13 29
13 14 15
13 15 18
13 18 29
15 16 17
15 17 18
18 19 20
18 20 27
18 27 28
18 28 29
20 21 22
20 22 23
20 23 25
20 25 26
20 26 27
23 24 25
30 31 32
30 32 33
34 35 36
34 36...

output:

35 1000
poly
21 15
..............#
..............#
............###
.........######
........######.
........######.
........######.
.......#######.
.......#######.
......########.
.....#######...
.....#####.....
....######.....
..#######......
.#######.......
.######........
######.........
######......

input:

35 1000
poly
21 15
..............#
..............#
............###
.........######
........######.
........######.
........######.
.......#######.
.......#######.
......########.
.....#######...
.....#####.....
....######.....
..#######......
.#######.......
.######........
######.........
######......

output:

35 1000
triang
1 2 33
1 33 34
1 34 37
2 3 29
2 29 30
2 30 33
3 4 11
3 11 29
4 5 6
4 6 7
4 7 9
4 9 11
7 8 9
9 10 11
11 12 13
11 13 29
13 14 15
13 15 18
13 18 29
15 16 17
15 17 18
18 19 20
18 20 27
18 27 28
18 28 29
20 21 22
20 22 23
20 23 25
20 25 26
20 26 27
23 24 25
30 31 32
30 32 33
34 35 36
34 36...

result:

ok good communication process (1000 test cases)

Test #40:

score: 100
Accepted
time: 28ms
memory: 3668kb

input:

35 1000
poly
18 18
................##
...............###
...............#..
...............#..
..............##..
............###...
...........####...
.........####.....
......######......
......#####.......
..#########.......
..#########.......
.#######..........
.#####............
######............

output:

35 1000
triang
1 2 37
2 3 4
2 4 13
2 13 19
2 19 22
2 22 28
2 28 37
4 5 6
4 6 9
4 9 12
4 12 13
6 7 9
7 8 9
9 10 12
10 11 12
13 14 15
13 15 16
13 16 17
13 17 18
13 18 19
19 20 21
19 21 22
22 23 24
22 24 28
24 25 26
24 26 27
24 27 28
28 29 30
28 30 37
30 31 37
31 32 37
32 33 34
32 34 35
32 35 37
35 36 ...

input:

35 1000
triang
1 2 37
2 3 4
2 4 13
2 13 19
2 19 22
2 22 28
2 28 37
4 5 6
4 6 9
4 9 12
4 12 13
6 7 9
7 8 9
9 10 12
10 11 12
13 14 15
13 15 16
13 16 17
13 17 18
13 18 19
19 20 21
19 21 22
22 23 24
22 24 28
24 25 26
24 26 27
24 27 28
28 29 30
28 30 37
30 31 37
31 32 37
32 33 34
32 34 35
32 35 37
35 36 ...

output:

35 1000
poly
18 18
................##
...............###
...............#..
...............#..
..............##..
............###...
...........####...
.........####.....
......######......
......#####.......
..#########.......
..#########.......
.#######..........
.#####............
######............

result:

ok good communication process (1000 test cases)

Test #41:

score: 100
Accepted
time: 25ms
memory: 3608kb

input:

35 1000
poly
19 17
................#
................#
................#
...............##
..............###
............#####
............#####
............###..
...........###...
.....#########...
....#######......
....#######......
....#####........
...#####.........
..######.........
..#####.......

output:

35 1000
triang
1 2 5
1 5 37
2 3 4
2 4 5
5 6 37
6 7 19
6 19 20
6 20 33
6 33 37
7 8 9
7 9 18
7 18 19
9 10 12
9 12 17
9 17 18
10 11 12
12 13 14
12 14 17
14 15 17
15 16 17
20 21 33
21 22 23
21 23 32
21 32 33
23 24 32
24 25 26
24 26 30
24 30 32
26 27 30
27 28 29
27 29 30
30 31 32
33 34 37
34 35 36
34 36 ...

input:

35 1000
triang
1 2 5
1 5 37
2 3 4
2 4 5
5 6 37
6 7 19
6 19 20
6 20 33
6 33 37
7 8 9
7 9 18
7 18 19
9 10 12
9 12 17
9 17 18
10 11 12
12 13 14
12 14 17
14 15 17
15 16 17
20 21 33
21 22 23
21 23 32
21 32 33
23 24 32
24 25 26
24 26 30
24 30 32
26 27 30
27 28 29
27 29 30
30 31 32
33 34 37
34 35 36
34 36 ...

output:

35 1000
poly
19 17
................#
................#
................#
...............##
..............###
............#####
............#####
............###..
...........###...
.....#########...
....#######......
....#######......
....#####........
...#####.........
..######.........
..#####.......

result:

ok good communication process (1000 test cases)

Test #42:

score: 100
Accepted
time: 24ms
memory: 3688kb

input:

35 1000
poly
12 24
...............#########
...........#############
...........##########...
...........######.......
..........#######.......
.........#######........
........#######.........
.......#######..........
....########............
...########.............
..#######...............
######...

output:

35 1000
triang
1 2 36
1 36 37
2 3 36
3 4 34
3 34 35
3 35 36
4 5 9
4 9 10
4 10 34
5 6 7
5 7 8
5 8 9
10 11 12
10 12 25
10 25 34
12 13 14
12 14 25
14 15 24
14 24 25
15 16 17
15 17 24
17 18 23
17 23 24
18 19 20
18 20 22
18 22 23
20 21 22
25 26 29
25 29 30
25 30 34
26 27 29
27 28 29
30 31 34
31 32 33
31 ...

input:

35 1000
triang
1 2 36
1 36 37
2 3 36
3 4 34
3 34 35
3 35 36
4 5 9
4 9 10
4 10 34
5 6 7
5 7 8
5 8 9
10 11 12
10 12 25
10 25 34
12 13 14
12 14 25
14 15 24
14 24 25
15 16 17
15 17 24
17 18 23
17 23 24
18 19 20
18 20 22
18 22 23
20 21 22
25 26 29
25 29 30
25 30 34
26 27 29
27 28 29
30 31 34
31 32 33
31 ...

output:

35 1000
poly
12 24
...............#########
...........#############
...........##########...
...........######.......
..........#######.......
.........#######........
........#######.........
.......#######..........
....########............
...########.............
..#######...............
######...

result:

ok good communication process (1000 test cases)

Test #43:

score: 100
Accepted
time: 26ms
memory: 3672kb

input:

35 1000
triang
1 2 13
1 13 36
1 36 37
2 3 13
3 4 9
3 9 12
3 12 13
4 5 6
4 6 9
6 7 9
7 8 9
9 10 11
9 11 12
13 14 36
14 15 16
14 16 29
14 29 36
16 17 18
16 18 29
18 19 29
19 20 22
19 22 28
19 28 29
20 21 22
22 23 27
22 27 28
23 24 27
24 25 27
25 26 27
29 30 33
29 33 36
30 31 33
31 32 33
33 34 35
33 35...

output:

35 1000
poly
22 14
..........####
..........##..
..........##..
........####..
........###...
........###...
........###...
.......####...
.......####...
.......###....
.......###....
......###.....
.....####.....
..######......
.####.........
.####.........
####..........
####..........
####..........

input:

35 1000
poly
22 14
..........####
..........##..
..........##..
........####..
........###...
........###...
........###...
.......####...
.......####...
.......###....
.......###....
......###.....
.....####.....
..######......
.####.........
.####.........
####..........
####..........
####..........

output:

35 1000
triang
1 2 13
1 13 36
1 36 37
2 3 13
3 4 9
3 9 12
3 12 13
4 5 6
4 6 9
6 7 9
7 8 9
9 10 11
9 11 12
13 14 36
14 15 16
14 16 29
14 29 36
16 17 18
16 18 29
18 19 29
19 20 22
19 22 28
19 28 29
20 21 22
22 23 27
22 27 28
23 24 27
24 25 27
25 26 27
29 30 33
29 33 36
30 31 33
31 32 33
33 34 35
33 35...

result:

ok good communication process (1000 test cases)

Test #44:

score: 100
Accepted
time: 23ms
memory: 3784kb

input:

35 1000
poly
16 20
.................###
.................###
................###.
..............####..
.........########...
.........########...
.....############...
.....############...
.....###########....
.....#########......
...##########.......
...#########........
...######...........
.######....

output:

35 1000
perm
6 10 1 11 2 13 3 4 14 5 18 19 7 8 21 9 22 23 25 26 27 12 15 29 16 33 17 20 24 28 34 30 35 31 32 
triang
1 2 7
1 7 36
1 36 37
2 3 7
3 4 5
3 5 6
3 6 7
7 8 33
7 33 34
7 34 35
7 35 36
8 9 11
8 11 32
8 32 33
9 10 11
11 12 29
11 29 32
12 13 19
12 19 21
12 21 28
12 28 29
13 14 19
14 15 19
15 1...

input:

35 1000
perm
6 10 1 11 2 13 3 4 14 5 18 19 7 8 21 9 22 23 25 26 27 12 15 29 16 33 17 20 24 28 34 30 35 31 32
triang
1 2 7
1 7 36
1 36 37
2 3 7
3 4 5
3 5 6
3 6 7
7 8 33
7 33 34
7 34 35
7 35 36
8 9 11
8 11 32
8 32 33
9 10 11
11 12 29
11 29 32
12 13 19
12 19 21
12 21 28
12 28 29
13 14 19
14 15 19
15 16...

output:

35 1000
poly
16 20
.................###
.................###
................###.
..............####..
.........########...
.........########...
.....############...
.....############...
.....###########....
.....#########......
...##########.......
...#########........
...######...........
.######....

result:

ok good communication process (1000 test cases)

Test #45:

score: 100
Accepted
time: 32ms
memory: 3816kb

input:

35 1000
perm
3 1 4 5 8 9 2 11 6 15 17 20 7 22 10 23 25 12 28 13 31 33 14 16 18 34 19 35 21 24 26 27 29 30 32
perm
4 1 7 2 3 8 5 13 18 19 20 6 9 21 24 10 26 28 11 12 14 29 31 15 32 33 16 17 34 22 23 25 35 27 30
poly
18 18
.................#
...............###
............######
............######
......

output:

35 1000
triang
1 2 37
2 3 6
2 6 7
2 7 34
2 34 36
2 36 37
3 4 5
3 5 6
7 8 11
7 11 30
7 30 33
7 33 34
8 9 10
8 10 11
11 12 13
11 13 27
11 27 30
13 14 25
13 25 27
14 15 17
14 17 19
14 19 25
15 16 17
17 18 19
19 20 24
19 24 25
20 21 22
20 22 24
22 23 24
25 26 27
27 28 30
28 29 30
30 31 33
31 32 33
34 35...

input:

35 1000
triang
1 2 37
2 3 6
2 6 7
2 7 34
2 34 36
2 36 37
3 4 5
3 5 6
7 8 11
7 11 30
7 30 33
7 33 34
8 9 10
8 10 11
11 12 13
11 13 27
11 27 30
13 14 25
13 25 27
14 15 17
14 17 19
14 19 25
15 16 17
17 18 19
19 20 24
19 24 25
20 21 22
20 22 24
22 23 24
25 26 27
27 28 30
28 29 30
30 31 33
31 32 33
34 35...

output:

35 1000
perm
3 1 4 5 8 9 2 11 6 15 17 20 7 22 10 23 25 12 28 13 31 33 14 16 18 34 19 35 21 24 26 27 29 30 32 
perm
4 1 7 2 3 8 5 13 18 19 20 6 9 21 24 10 26 28 11 12 14 29 31 15 32 33 16 17 34 22 23 25 35 27 30 
poly
18 18
.................#
...............###
............######
............######
....

result:

ok good communication process (1000 test cases)