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Consider the following functions: f 1 (n) = n 2 . f 2 (n) = n 2 + 10000n. f 3 (n) = n, if

Consider the following functions:

f₁(n) = n².

f₂(n) = n² + 10000n.

f₃(n) = n, if n is odd,

= n³, if n is even.

f₄(n) = n, if n 1000,

= n³, if n > 1000.

Answer whether f_i (n) is O(f_j (n)) and whether f_i (n) is W(f_j (n)) for each distinct pair i and j.

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