1999 AHSME Problem

Maverick848

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Jan 20, 2006
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Let, x1, x2 ...xn be a sequence of integers such that

(i) they all must be either -1, 0 ,1 or 2

(ii) x1 +x2 ... xn = 19, and

(iii)(x1)^2 +(x2)^2...(xn)^2 = 99

Let m and M be the minimal and maximal possible values of (x1)^3 + (x2)^3 ...(xn)^3, respectively. Then M/m =

a. 3 b. 4 c. 5 d. 6 e. 7
 
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