Chuck can barely defeat, by himself alone, Sylvester and Steven together.
Sylvester and Chuck are a perfect match for Arnold and Steven.
But if Chuck and Arnold exchange places, Sylvester and Arnold together can decisively beat Chuck and Steven.
Who is stronger, who is weaker?
i use the term B her to indicate 'barely'
so from the first we have
C = Sy + St - B
moving to the second and substituting
Sy + ( Sy + St - B) = A + St
A= 2Sy - B
Sy + A > C + St
Sy + (2Sy - B) > ( Sy + St - B) + St
3Sy - B > Sy +2St - B
2Sy > 2St
Sy > St ie. Sylvester is stronger thaN sTEVE
now since
C = Sy + St - B
and
A = 2 Sy - B
A is stronger than C because Sy is Stronger than St
Since C = Sy + St - B, C is stronger than both individually
so
we have
Arnold is stronger than everyone
C is stronger than Sy and St
Sy is stronger than St
St is weaker than everyone
Sy is weaker than C & A
and C is weaker than A
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Posted by mickey
on 2006-01-29 18:24:22 |