mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-11-24 02:08:48 +00:00
15001 lines
44 KiB (Stored with Git LFS)
Plaintext
15001 lines
44 KiB (Stored with Git LFS)
Plaintext
15000
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
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
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|
|
0
|