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of a matrix is the minimum of the column maxima, and the maximin is the maximum of the row minima. The optimal strategies are possible when these two values are equal. Write a program that prints the minimax and the maximin of a given matrix.
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6.1 6.2 6.3 6.4 6.5 6.6 6.7 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-1, where n 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.
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6.1 Example 6.1 modified with input prompts and output labels: int main() { const int SIZE=5; double a[SIZE]; cout << "Enter " << SIZE << " numbers:\n"; for (int i=0; i<SIZE; i++) { cout << "\ta[" << i << "]: "; cin >> a[i]; } cout << "In reverse order, they are:\n"; for (int i=SIZE-1; i>=0; i--) cout << "\ta[" << i << "] = " << a[i] << endl; } Example 6.1 modified so that inputs are stored in reverse: int main() { const int SIZE=5; double a[SIZE]; cout << "Enter " << SIZE << " numbers:\n"; for (int i=SIZE-1; i>=0; i--) { cout << "\ta[" << i << "]: "; cin >> a[i]; } cout << "In reverse order, they are:\n"; for (int i=0; i<SIZE; i++) cout << "\ta[" << i << "] = " << a[i] << endl; } Example 6.9 modified so that it tests a function that returns the average of the elements of an array: float ave(int[],int); int main() { int a[] = { 11, 33, 55, 77 };
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int size = sizeof(a)/sizeof(int); cout << "ave(a,size) = " << ave(a,size) << endl; } float ave(int a[], int n) { float sum=0.0; for (int i=0; i<n; i++) sum += a[i]; return sum/n; } Example 6.10 modified so that that it prints the array, its sum, and its average: void read(int[],int&); void print(int[],int); int sum(int[],int); float ave(int[],int); int main() { const int MAXSIZE=100; int a[MAXSIZE]={0}, size; read(a,size); cout << "The array has " << size << " elements: "; print(a,size); cout << "\nIts sum is " << sum(a,size) << "\nand its average is " << ave(a,size) << endl; } The function definitions are the same as in Example 6.9, Example 6.10, and Problem 6.3. Example 6.11 modified so that that it prints the memory locations and their contents for each element of an array: int main() { unsigned int a[] = { 22, 44, 66, 88 }; cout << "a = " << a << ", *a = " << *a << endl; cout << "a+1 = " << a+1 << ", *(a+1) = " << *(a+1) << endl; cout << "a+2 = " << a+2 << ", *(a+2) = " << *(a+2) << endl; cout << "a+3 = " << a+3 << ", *(a+3) = " << *(a+3) << endl; } a = 0x0064fdbc, *a = 22 a+1 = 0x0064fdc0, *(a+1) = 44 a+2 = 0x0064fdc4, *(a+2) = 66 a+3 = 0x0064fdc8, *(a+3) = 88 The 0x that prefixes each memory location indicates that those are hexadecimal (base 16) values. (Most computers express memory addresses in hexadecimal notation.) Note that each address is 4 bytes past its predecessor; that shows that unsigned int objects occupy 4 bytes in memory. Example 6.12 modified so that that it prints the memory locations and their contents for each element of an array: int index(int,int[],int); int main() { int a[] = { 22, 44, 66, 88, 44, 66, 55 }; cout << "index(44,a,7) = " << index(44,a,7) << endl; cout << "index(50,a,7) = " << index(50,a,7) << endl; } int index(int x, int a[], int n) { for (int i=n-1; i>=0; i--)
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