Java Practice It | Exercise 14.11: reorder | Collections, #stacks and #queues , stacks, queues

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Write a method reorder that takes a queue of integers as a parameter and that puts the integers into sorted (nondecreasing) order assuming that the queue is already sorted by absolute value. For example, suppose that a variable called q stores the following sequence of values:

front [1, 2, -2, 4, -5, 8, -8, 12, -15, 23] back
Notice that the values appear in sorted order if you ignore the sign of the numbers. The call of reorder(q); should reorder the values so that the queue stores this sequence of values:

front [-15, -8, -5, -2, 1, 2, 4, 8, 12, 23] back
Notice that the values now appear in sorted order taking into account the sign of the numbers. You may use one stack as auxiliary storage to solve this problem.
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