Create a matrix with alternating rectangles of O and XIntroductionBasic data structures called matrices are used in mathematics and computer science to arrange and work with data. In this post, we'll look at how to use the C programming language to make a matrix with 'O' and 'X' rectangles that alternate. The logic is to divide the matrix into sections and fill each section with either 'O' or 'X' according to a pattern in order to create a matrix with alternating rectangles. The desired arrangement of 'O' and 'X' and the matrix's dimensions typically define the pattern. Implementation1. Recognizing the Dimensions: The alternating pattern must be determined by taking into account the dimensions of the matrix. Let's use a 5x5 matrix as an example to keep things simple. 2. Iterating Through Rows and Columns: To iterate through each row and column of the matrix, nested loops will be used. 3. 'O' and 'X' alternate: The secret to accomplishing the alternating pattern is to use the row and column indices to decide which character to put in the current position: 'O' or 'X'. The 'O' or 'X' is inserted into the matrix based on the condition that determines whether the row index is in an odd or even section. 4. Printing the Matrix: To see the alternating pattern, print the matrix after it is filled. CodeOutput: Code Explanation Matrix Declaration
Using Nested Loops to Complete the Matrix
Conditional Filling
Printing the Matrix
Return Statement
Time Complexity The code to create a matrix with alternating rectangles of 'O' and 'X' has a time complexity of O(R * C), where R is the matrix's row count and C is its column count. The two nested loops that are used to iterate over each matrix element are the source of this complexity. The time complexity of both loops is proportional to the product of the number of rows and columns because they run from 0 to the corresponding dimensions of the matrix. Space Complexity Because it depends on the size of the 2D character array matrix, the code's space complexity is also O(R * C). The space needed is determined by multiplying the number of rows by the number of columns. There are R * C characters ('O' or 'X') that make up each element in the matrix. Since there are no other data structures or recursive calls that make a substantial difference in the space complexity, the matrix size is the primary factor. |