odd or even

Number Theory Level pending

N is the number of 5-tuples of positive integers ( a , b , c , d , e ) satisfying the equation
abcde = 5*( bcde + acde + abde + abce + abcd ) . . and...

Y= N - 2*[(N-1)/2]. find Y.

NOTE: [x] denotes greatest integer not exceeding x

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