input:

4 6
1 1
4 1
4 4
1 4
0 2 2 0
0 1 1 1
0 0 5 5
2 2 4 2
2 2 3 2
5 1 0 2

output:

-3 3 False True
Yes
-3 0 False False
Yes
-3 12 False True
Yes
3 9 True True
3 3 True True
6 0 True False
Yes
3 6 True True
3 3 True True
6 3 True True
-6 -6 False False
No
12 -3 True False
Yes

result:

wrong output format YES or NO expected, but -3 found [1st token]