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The pseudocode "declare Logons(9,1) as string" indicates the creation of an array with two specified dimensions. The first value, 9, signifies the size of the array in one dimension, while the second value, 1, indicates the size in the second dimension. Therefore, this structure forms a two-dimensional array, which can be visualized as a grid or matrix containing rows and columns.
A two-dimensional array is utilized for organizing data in a way that allows for efficient sorting and accessing information using two indices, one for each dimension. In this case, if you think of the array as having 10 rows (from index 0 to 9) and 2 columns (from index 0 to 1), it can store multiple logon strings in a structured format.
The other types listed, such as one-dimensional, variable-length, and three-dimensional arrays, are distinct from what is indicated in the pseudocode, making them incorrect choices for this question. A one-dimensional array would require only a single size parameter, while a variable-length array does not have fixed dimensions defined. A three-dimensional array would necessitate an additional size parameter for the third dimension, which is not present in the given pseudocode.