Multiplicative sequences

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Any completely-multiplicative sequence of length [math]247[/math] has discrepancy more than [math]2[/math]. There are 500 sequences of length [math]246[/math] with discrepancy [math]2[/math]. Here is one example:

0 + - - + - + - - + + + - - + + + - -
+ - + - - + + + - - + - + - - + + + -
- + + - - - + - + - - + - + - + + - +
- - + + + - - + + + - - + - - - + + -
+ - - + - + + - + + + - - - + + - - +
- + - - + + - - + + - - + - + + + - -
+ + + - - + - + - + + - + - - + - + -
- + + + - - - + + + - + - - - - + + +
- - + - + + - - + + - - - + + - - + -
+ - + + - + - + + - + - - + + + - - +
+ - - - + - + - - + - + + - + + - - -
+ + - + + - + + - - - - + - + + + + -
- - - + - + + + + - - - + + - - + - -