The Hilbert curve, first described by German mathematician David Hilbert in 1891, is a space-filling curve that visits every point in a square grid with a size of 2 * 2, 4 * 4, 8 * 8, 16 * 16, or any other power of 2. Write a program that displays a Hilbert curve for the specified order, as shown in Figure 18.19.

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Enter an order: Enter an order: Enter an order: Enter an order: (b) (d)