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5.39 Write a program to determine how many repeated perfect shuffles it takes to restore an array to
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its original order. (See Problem 5.15.)
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5.40 Implement the perfect shuffle for an array of any size, even or odd.
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5.41 Write and test the following function: void prepend(int a[], int m, int b[], int n) The function prepends the first n elements of the array b ahead of the first m elements of the array a. It assumes that a has room for at least m + n elements.
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ARRAYS
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5.42 Write and test a function that transposes a two-dimensional square array of intS. For exam-
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ple, it would transform the array
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11 44 77 22 55 88 33 66 99
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11 44 77 22 55 88 33 6 6 9 9
5.43 Write and test a function that zeros out the diagonals of a two-dimensional square may of
intS. For example, it would transform the may
11 12 21 22 31 32 41 42 51 52 13 14 23 24 33 34 43 44 53 54 15 25 35 45 55
into the array
0 21 31 41 0 12 13 14 0 0 23 0 25 32 0 34 35 0 43 0 45 52 53 54 0
5.44 Write and test a function that returns the 11 40 35 22 20 25 33 60 15
trace (i.e., the sum of the main diagonal elements) of a two-dimensional square array of intS. For example, it would return 46 for the array
5.45 Write and test a function that compares 2 two-dimensional int arrays of the same size and
assigns -1, 0, or 1 to each element of a third array of the same size according to whether the corresponding element of the first array is less than, equal to, or greater than the corresponding element of the second array. For example, if the two given arrays are
22 50 -1 0 44 50 66 50 1 -1 33 50 44 50 55 80
then the third array would be assigned
5.46 Write and test a function that computes the outer product of 2 one-dimensional int arrays.
The (i, j) element of the resulting two-dimensional array will be the product of the ith element of the first array with the jth element of the second array. For example, if the two given arrays are
20 30 40 3 -2
then the third array would be assigned
60 90 120 -40 -60 -80
ARRAYS
[CHAP. 5
5.47 A minimax or sad&e point in a two-dimensional array is an element that is the minimum of its
row and the maximum of its column, or vice verse. For example, in the following array
11 99 77 22 55 44 33 66 99 33 77 22
the element 33 is a minimax because it is the maximum of row 0 and the minimum of column 2. The element 55 is another minimax because it is the minimum of row 1 and the maximum of column 1. Write and test a program that reads the integers m and n, and then reads an m-by-n matrix, and then prints the location and value of each minimax in the matrix. For example, it would print
a[0,2] = 33 is a minimax aLlI = 55 is a minimax
for the matrix shown above.
5.48 Write and test a function that creates Pascal s Triangle in the square matrix passed to it. For example, if it is passed the two-dimensional array a and the integer 4, then it would load the following into a: 1 0 0 0 0 1 1 0 0 0 1 2 1 0 0 1 3 3 1 0 1 4 6 4 1
Answers to Review Questions
5.1 5.2 5.3 5.4 5.5 5.6 5.7 Only one: all of an array s elements must be the same type. An array s subscript must be an integer type with range from 0 to n-l, where y1 is the array s size. In the absence of an initializer, the elements of an array will have unpredictable initial values. If the array s initializer has fewer values than the array size, then the specified values will be assigned to the lowest numbered elements and the remaining elements will automatically be initialized to zero. It is an error to have more initial values than the size of the array. An enum statement defines an enumeration type which is a new unsigned integer type. A typedef merely defines a synonym for an existing type. When a multi-dimensional array is passed to a function, all dimensions except the first must be specified so that the compiler will be able to compute the location of each element of the array.
6
Pointers and References
6.1 INTRODUCTION
When a variable is declared, three fundamental attributes are associated with it: its name, its type, and its address in memory. For example, the declaration
int n;
associates the name n, the type int, and the address of some location in memory where the value of n is to be stored. Suppose that address is 0x3 f f f d14. (This is hexadecimal notation; it is explained in Appendix G.) Then we can visualize n like this:
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