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5.26 Write
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and test the following function that attempts to remove an item from an array:
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a[], int& n, int x)
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int remove(int
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The function searches the first n elements of the array a for the item
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is found, it is
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removed, all the elements above that position are shifted down, n is decremented, and 1 is returned to indicate a successful removal. If x is not found, the array is left unchanged and 0 is
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returned to indicate failure. (See Problem 5.9.)
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5.27 Write and test the following function: void rotate(int a[], int n, int k)
The function rotates the first n elements of the array a, k positions to the right (or -k positions to the left if k is negative). The last k elements are rotated around to the beginning of the array. For example, if a is the array shown below:
0 1 2 3 4 5 6 7
thenthecall rotate(a,
3 ) would transform a into
1 2 3 4 5 6 7
Note that the call rotate ( a,
- 5 ) would have the same effect.
5.28 Write and test the following function: void append(int a[], int m, int b[], int n)
The function appends the first n elements of the array b onto the end of the first m elements of the array a. It assumes that a has room for at least m + n elements. For example, if a and b look like this:
a 0 1 2 3 4 5 6 7 8 9 10 11 12 13 b 0 1 2 3 4 5 6 7
then the call append (a, 8, b, 5 ) would transform a into
a 0 1 2 3 4 5 6 7 8 9 10 11 12 13
Note that b is left unchanged, and only 5 elements of a are changed.
5.29 Write and test the following function: int isPalindrome(int a[], int n)
The function returns 1 or 0, according to whether the first n elements of the arrav a form a Dalindrome. Apalindrome is an array like {22,33,44,55,44,33,22} that re;ains unchanged when reversed. Warning: The function should leave the array unchanged.
5.30 Write and test a function that adds element-wise 2 one-dimensional int arrays of the same
size. For example, if the two given arrays are
22 33
then the third array would be assigned
29 37
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5.31 Write and test a function that subtracts element-wise 2 one-dimensional int arrays of the
same size. For example, if the two given arrays are 22 33 44 55 and 7 4 1 -2 then the third array would be assigned: 15 29 43 57
5.32 Write and test a function that multiplies element-wise 2 one-dimensional int arrays of the
same size. For example, if the two given arrays are 2 4 6 8 and 7 4 1 -2 then the third array would be assigned 14 16 6 -16
5.33 One reason that the version of the Bubble Sort presented in Example 5.12 is inefficient is that it
will perform the same number of comparisons on an array of n elements regardless of how ordered its elements are initially. Even if the array is already completely sorted, this version of the Bubble Sort will still make about n2/2 comparisons. Modify this version so that the main whi le loop stops as soon as it has a complete iteration with no swaps. Use a flag (i.e., an int variable that stops the loop when its value is 1) named sorted that is set to 0 at the beginning of each iteration of the main loop and then is set to 1 if a swap is made.
5.34 Rewrite and test the sort ( >
function presented in Example 5.12, using the Selection Sort instead of the Bubble Sort. The Selection Sort of an array of n elements goes through n-l iterations, each time selecting out the next largest element a [ j ] and swapping it with the element that is in the position where a [ j ] should be. So on the first iteration it selects the largest of all the elements and swaps it with a [n- 11, and on the second iteration it selects the largest from the remaining unsorted elements a [ 0 ] , . . . , a[n-21 andswapsitwith a[n-Z],etc.On its ith iteration it selects the largest from the remaining unsorted elements a [ 0 ] , . . . , a [n- i ] and swaps it with a [n-i 1.
5.35 Implement the Zndirect Selection Sort. (See Problem 5.12.)
5.36 Implement the Indirect Insertion Sort. (See Problem 5.11.) 5.37 Write and test a function that computes the median value stored in a sorted array. The median is
the middle number. 5.38 Write and test a function that computes the kth percentile of a sorted array. The kth percentile is the number that is k% of the way from the beginning of the sorted array. For example, the 75th percentile is the number x in the array for which 75% of the elements y have y L X. The median is the 50th percentile.
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