memory_initialization_radix = 2;
memory_initialization_vector =
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
1
1
0
1
1
1
1
0
0
1
1
1
1
0
0
1
0
0
1
0
1
1
1
0
1
0
0
1
1
0
1
0
0
1
1
0
0
0
1
0
1
0
0
1
0
1
1
0
0
0
1
1
0
0
0
0
1
1
0
1
0
1
1
1
0
0
1
1
0
1
0
0
0
1
0
1
0
0
1
1
0
0
0
0
1
0
0
0
0
1
1
1
0
0
0
1
0
0
1
0
1
0
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
0
1
1
0
0
0
1
1
0
1
0
1
0
0
0
0
1
1
1
1
1
0
1
1
0
0
0
1
1
0
1
0
0
1
0
1
0
1
1
1
1
1
0
1
1
0
0
0
1
0
1
1
1
1
1
1
1
0
0
0
0
1
1
1
0
0
1
0
0
0
0
1
1
0
1
1
0
1
0
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
0
0
0
1
0
1
0
0
0
0
1
0
1
1
1
0
0
0
1
0
1
1
0
0
0
1
0
0
1
0
1
0
0
1
0
1
0
0
0
1
0
0
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
0
1
1
1
0
1
1
0
0
1
1
0
0
0
0
1
0
1
0
1
0
1
1
0
0
0
1
0
0
1
1
0
0
1
1
0
1
1
1
1
0
0
1
0
0
1
0
1
0
0
1
0
0
0
1
0
1
1
0
0
0
0
1
1
1
0
0
1
1
1
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
0
0
0
1
0
1
0
1
0
1
1
1
1
0
0
0
0
0
1
1
0
1
1
0
0
0
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
0
1
0
1
0
1
1
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
1
0
0
0
1
0
0
0
0
1
0
1
0
0
0
0
0
1
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
0
1
0
0
1
0
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
1
0
0
0
0
1
1
1
1
0
0
1
1
1
0
1
1
1
0
1
1
1
0
1
0
1
0
1
1
1
0
0
1
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
1
1
1
1
1
1
0
1
1
1
0
1
1
0
0
1
0
0
1
0
1
1
0
1
0
1
0
0
1
1
1
1
1
0
0
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
0
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
1
1
0
1
0
1
0
1
0
1
0
1
1
1
1
1
1
1
0
0
1
0
0
1
1
0
1
1
0
0
0
1
0
1
0
0
1
0
1
0
0
0
1
1
1
0
0
1
0
1
1
0
1
0
0
1
1
1
0
1
1
0
1
1
0
0
1
0
0
1
1
1
1
0
1
1
0
1
0
0
0
1
0
0
1
1
0
1
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
1
0
1
0
1
0
1
0
1
1
0
1
1
1
0
1
1
1
1
1
1
0
0
0
0
1
1
1
1
1
0
0
1
0
0
1
1
0
0
0
1
1
1
0
1
1
0
1
0
0
0
0
1
0
0
0
1
0
0
1
0
1
0
1
0
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
0
1
0
1
1
0
0
0
0
1
0
0
1
0
1
0
1
0
1
1
1
0
1
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
1
1
1
1
1
0
0
1
1
1
0
0
0
1
0
1
0
1
1
0
1
0
0
1
0
0
0
0
1
0
0
0
1
1
0
1
1
0
0
0
0
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
0
1
0
1
1
0
0
0
0
0
0
1
0
0
1
0
1
1
0
1
1
1
1
1
0
0
0
1
1
0
0
0
0
0
1
0
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
0
1
1
1
1
1
1
0
1
0
0
1
0
0
1
0
0
1
0
1
1
0
1
1
0
1
1
0
0
0
1
0
0
0
1
1
1
1
0
1
0
1
0
1
1
1
1
0
1
0
0
1
0
1
1
1
1
0
1
0
1
0
0
1
0
1
0
1
1
1
1
0
0
1
1
0
1
1
1
1
1
0
1
0
1
0
0
1
1
1
0
0
1
0
1
0
1
0
0
1
0
0
1
0
1
1
1
0
0
0
1
0
0
0
1
0
0
1
0
1
0
1
1
1
1
1
1
1
0
1
0
1
1
0
0
0
0
1
1
1
0
0
1
0
1
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
1
0
0
1
0
1
1
0
0
1
0
0
1
0
0
0
1
0
0
0
0
1
0
1
1
1
1
0
0
1
0
0
1
0
0
0
1
1
0
0
0
0
1
0
0
1
1
0
0
0
1
1
1
0
0
1
1
0
0
1
0
0
0
1
1
1
1
0
1
0
0
0
1
0
0
1
1
1
0
0
1
1
1
1
1
0
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
1
0
1
1
1
1
0
1
1
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
0
1
0
0
1
1
1
1
1
1
0
1
1
1
1
1
1
0
1
0
1
0
1
1
0
1
0
0
0
1
0
0
1
0
1
1
1
0
1
0
0
1
1
1
0
1
0
0
1
1
1
0
0
0
0
0
1
0
0
0
1
1
1
0
1
1
0
1
1
0
1
0
1
0
0
1
0
0
0
1
0
1
1
0
1
0
0
0
1
1
1
1
1
1
1
0
1
0
0
1
1
0
1
1
0
0
0
0
1
1
1
0
1
1
0
1
1
1
0
1
0
1
0
1
0
0
0
0
0
1
1
0
1
0
1
0
0
1
0
0
0
0
1
1
1
1
0
1
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
1
1
0
0
1
0
1
1
0
0
0
1
1
0
1
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
1
0
0
0
0
1
0
0
1
0
0
0
1
1
1
1
1
0
0
0
0
0
1
0
0
1
0
1
0
1
1
1
0
0
1
1
0
1
1
0
0
1
0
0
1
0
1
0
1
1
1
0
0
0
0
0
0
1
0
1
0
0
1
0
1
1
1
0
0
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
0
1
0
1
0
1
1
0
0
0
0
0
0
0
1
1
0
1
1
0
1
1
0
0
1
1
1
1
0
0
1
0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1
0
1
1
1
1
0
0
1
1
1
1
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1
0
0
0
1
1
1
0
0
1
1
0
0
0
0
1
0
0
0
1
1
0
0
1
0
1
1
1
0
1
0
0
0
1
1
0
0
0
0
1
1
1
1
1
0
1
0
1
0
1
1
1
0
1
0
0
1
1
0
0
1
0
1
0
0
1
0
1
1
0
1
0
0
1
0
0
1
1
1
1
0
0
1
1
1
1
0
1
1
1
1
0
0
1
0
1
1
0
0
1
0
1
0
0
0
1
1
1
0
1
0
0
1
1
1
1
0
1
1
1
0
0
0
1
1
0
1
1
0
1
0
1
0
1
0
1
1
0
1
0
1
0
1
1
0
0
1
1
0
0
1
0
0
0
0
1
1
1
1
0
0
0
0
1
1
0
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
0
0
1
0
0
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
0
1
0
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
1
0
0
1
1
1
1
1
0
1
0
1
0
1
0
1
0
0
1
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
1
1
1
0
1
1
1
0
1
1
0
0
0
0
1
1
1
1
0
1
1
0
1
1
0
0
1
0
0
0
1
1
0
0
0
0
1
0
1
0
0
0
0
0
0
1
0
1
1
1
1
0
1
1
0
1
0
0
0
1
0
0
0
1
1
0
1
0
0
1
0
0
1
1
0
0
0
1
0
1
0
1
1
0
0
1
0
0
1
0
0
0
0
1
0
1
1
0
0
0
0
0
1
0
1
1
1
1
0
0
1
1
0
0
0
1
1
0
0
1
1
0
1
0
1
0
1
0
0
0
0
1