10589 lines
31 KiB
Plaintext
10589 lines
31 KiB
Plaintext
memory_initialization_radix=2;
|
|
memory_initialization_vector=
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
11
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
01
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
00
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
00
|
|
10
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
00
|
|
00
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
01
|
|
01
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
10
|
|
10
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
00
|
|
01
|
|
01
|
|
10
|
|
00
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
11
|
|
00
|
|
10
|
|
01
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
10
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
01
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
00
|
|
01
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
10
|
|
11
|
|
00
|
|
10
|
|
00
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
11
|
|
10
|
|
10
|
|
10
|
|
10
|
|
01
|
|
00
|
|
10
|
|
00
|
|
10
|
|
00
|
|
00
|
|
01
|
|
10
|
|
11
|
|
01
|
|
01
|
|
10
|
|
00
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
11
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
01
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
01
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
10
|
|
00
|
|
10
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
01
|
|
00
|
|
11
|
|
10
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
00
|
|
11
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
10
|
|
11
|
|
10
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
11
|
|
11
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
10
|
|
00
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
00
|
|
11
|
|
11
|
|
10
|
|
01
|
|
10
|
|
00
|
|
00
|
|
00
|
|
10
|
|
10
|
|
10
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
10
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
11
|
|
11
|
|
00
|
|
11
|
|
11
|
|
00
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
10
|
|
01
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
00
|
|
11
|
|
00
|
|
00
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
10
|
|
01
|
|
00
|
|
10
|
|
10
|
|
01
|
|
10
|
|
00
|
|
11
|
|
11
|
|
11
|
|
10
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
00
|
|
10
|
|
00
|
|
11
|
|
00
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
00
|
|
01
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
01
|
|
00
|
|
10
|
|
10
|
|
10
|
|
00
|
|
01
|
|
00
|
|
00
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
01
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
01
|
|
01
|
|
11
|
|
10
|
|
00
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
11
|
|
01
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
10
|
|
11
|
|
01
|
|
10
|
|
01
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
10
|
|
00
|
|
11
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
00
|
|
00
|
|
11
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
00
|
|
01
|
|
11
|
|
10
|
|
11
|
|
01
|
|
10
|
|
11
|
|
11
|
|
00
|
|
01
|
|
10
|
|
00
|
|
00
|
|
11
|
|
00
|
|
11
|
|
00
|
|
01
|
|
10
|
|
01
|
|
00
|
|
00
|
|
01
|
|
01
|
|
11
|
|
10
|
|
01
|
|
01
|
|
10
|
|
11
|
|
10
|
|
01
|
|
10
|
|
10
|
|
01
|
|
01
|
|
00
|
|
00
|
|
01
|
|
11
|
|
11
|
|
10
|
|
11
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
10
|
|
00
|
|
01
|
|
00
|
|
01
|
|
10
|
|
00
|
|
01
|
|
01
|
|
01
|
|
01
|
|
01
|
|
00
|
|
10
|
|
11
|
|
00
|
|
00
|
|
10
|
|
11
|
|
10
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
01
|
|
01
|
|
00
|
|
01
|
|
10
|
|
10
|
|
01
|
|
11
|
|
01
|
|
11
|
|
11
|
|
10
|
|
00
|
|
11
|
|
01
|
|
10
|
|
10
|
|
11
|
|
11
|
|
00
|
|
00
|
|
10
|
|
01
|
|
00
|
|
01
|
|
11
|
|
01
|
|
11
|
|
10
|
|
10
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
11
|
|
11
|
|
00
|
|
00
|
|
01
|
|
00
|
|
01
|
|
11
|
|
11
|
|
00
|
|
01
|
|
00
|
|
00
|
|
01
|
|
10
|
|
01
|
|
01
|
|
11
|
|
00
|
|
01
|
|
01
|
|
11
|
|
11
|
|
11
|
|
11
|
|
00
|
|
11
|
|
10
|
|
01
|
|
11
|
|
00
|
|
10
|
|
10
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
11
|
|
00
|
|
11
|
|
11
|
|
10
|
|
11
|
|
00
|
|
01
|
|
11
|
|
10
|
|
01
|
|
01
|
|
11
|
|
01
|
|
11
|
|
01
|
|
10
|
|
11
|
|
00
|
|
11
|
|
11
|
|
11
|
|
11
|
|
; |