JAVA PROBLEM... PLEASE READ AND ANSWER WITH THE INSTRUCTIONS PROVIDED FOR THIS PROFRAM YOU CAN NOT USE MATH.LOG() OR MAT

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JAVA PROBLEM...
PLEASE READ AND ANSWER WITH THE INSTRUCTIONSPROVIDED
FOR THIS PROFRAM YOU CAN NOT USE MATH.LOG() ORMATH.POW()
Problem: Consider the following function classes ordered byproper inclusion:
(a) 𝑂(1000)
(b) 𝑂(𝑙𝑜𝑔(𝑙𝑜𝑔(𝑛)))
(c) 𝑂(𝑙𝑜𝑔(𝑛))
(d) 𝑂([𝑙𝑜𝑔(𝑛)] 4 )
(e) 𝑂(2𝑛 + 1)
(f) 𝑂(𝑛 𝑙𝑜𝑔 (𝑛))
(g) 𝑂(𝑛 2 𝑙𝑜𝑔 (𝑛))
(h) 𝑂(𝑛 4 )
(i) 𝑂(3 𝑛 )
(j) 𝑂(𝑛 𝑛)
For each big-O class C as above, write a method taking apositive integer k that prints f(k) dots on the console where f(n)is of class C, but f(n) is not in any class appearing listed beforeC. For example, log(n) is in the class listed under (c), but it isneither in the one listed under (b) nor listed under (a). You arelimited to a sub-language of Java. You can ONLY use fixed incrementoperators, variable declarations, assignment operators, methodcalls, Boolean operators, multiplication and division by constants,and control-flow structures. Justify your choice. Avoid librarycalls, except to print a dot on the console.