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II-A Number Theory Help

 
 
SongKevin的头像
II-A Number Theory Help
SongKevin - 2021年02月27日 Saturday 14:17
 

Hello I need help on 1.29 and 1.30 I don't know how to start

 
LensmireJohn的头像
Re: II-A Number Theory Help
LensmireJohn - 2021年02月27日 Saturday 15:36
 

Hi Kevin.

Reviewing questions 1.9 and 1.10 should hopefully help here.

For 1.29, the procedure will be different depending on whether the base $B$ is even or odd.  Think about the examples in 1.9 for $B = 2$ and $B = 3$.

For 1.30, here we can only use one side of the balance (while in 1.10 we could use both sides). Therefore, any amount we want to weigh must be balanced by the weights we have available. Looking at some small examples and patterns can be helpful here too.