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n 2 (n 2 −1) n [AHSME 1956] ( )
)
. 24 12 ( ) : )

100112 12 − n ( ) 24 ( ) 12 ( ) )

40 ( ) [AHSME 1957] (
.
19 ( ) 11 ( ) 7( )
ba
ba x = ab [AHSME 1957] (

. x 2 − (ba)2

5 ( ) 9()
( ) 11 ( )
196 N [AHSME 1957] (

7( ) NM

50 0 M −N

5N ()

N ()

N 7 ()

N 10 ( )

[Mathcounts 2009] ( )

8 ( ) 9 ( ) 10 ( )

[Mathcounts 2010] ( )

3

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