Python - Dual element Rows Combinations

Python - Dual element Rows Combinations

In this tutorial, we'll learn how to generate combinations of rows, where each combination consists of two elements. Specifically, given a list of lists (a matrix), our goal is to generate all possible combinations of rows, where each combination consists of two rows.

Objective:

Given a matrix, generate all combinations of rows where each combination consists of two rows.

Example:

For the matrix:

matrix = [[1, 2], [3, 4], [5, 6]]

The result will be:

[ [1, 2, 3, 4], [1, 2, 5, 6], [3, 4, 5, 6] ]

Approach:

  1. Use a nested loop to iterate over each pair of rows in the matrix.
  2. For each pair, combine the two rows to form a single row.
  3. Append the combined row to the result list.

Code:

def dual_element_rows_combinations(matrix): n = len(matrix) if n < 2: return matrix combinations = [] for i in range(n): for j in range(i + 1, n): combined_row = matrix[i] + matrix[j] combinations.append(combined_row) return combinations matrix = [[1, 2], [3, 4], [5, 6]] print(dual_element_rows_combinations(matrix))

Output:

[ [1, 2, 3, 4], [1, 2, 5, 6], [3, 4, 5, 6] ]

Explanation:

  • We start by determining the number of rows in the matrix using len(matrix).

  • Using a nested loop, we generate all pairs (i, j) where i is less than j. This ensures that we get all unique pairs of rows without repetition.

  • For each pair (i, j), we concatenate the rows matrix[i] and matrix[j] to generate a combined row.

  • The combined row is appended to the result list combinations.

Conclusion:

Generating dual-element row combinations from a matrix is straightforward with nested loops. This method provides all unique combinations of two rows from the given matrix. If you have a larger matrix and need to combine more than two rows, you can modify the approach or use libraries like itertools for more complex combinations.

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