彰師大離散數學問題2?

Sol
2^198|2^543-1 |2^345-1...... |2^147|
.........|2^543-2^198|2^345-2^147|
.........|----------------|----------------|
2^51..|2^198-1.......|2^147-1.......|2^96
.........|2^198-2^51..|2^147-2^96..|
.........|----------------|----------------|
2^6....|2^51-1.........|2^96-1........ |2^45
.........|2^51-2^6......|2^96-2^45 |
.........|----------------|----------------|
.........|2^6-1...........|2^45-1.........|2^39
.........|...................|2^45-2^39....|
.........|...................|----------------|
.........|...................|2^39-1.........|2^33
.........|...................|2^39-2^33....|
.........|...................|----------------|
.........|...................|2^33-1.........|2^27
.........|...................|2^33-2^27....|
.........|...................|----------------|
.........|...................|2^27-1.........|2^21
.........|...................|2^27-2^21....|
.........|...................|----------------|
.........|...................|2^21-1........ |2^15
.........|...................|2^21-2^15....|
.........|...................|----------------|
.........|...................|2^15-1.........|2^9
.........|...................|2^15-2^9......|
.........|...................|----------------|
.........|...................|2^9-1.......... |2^3
.........|...................|2^9-2^6........|
.........|...................|----------------|
........ |...................|2^6-1...........|
ans=2^6-1=63