1 <p>Умножение матриц методом Штрассена в Python можно реализовать следующим образом:</p>

2 <p>def split_matrix(matrix): size = len(matrix) half_size = size // 2 upper_left = [row[:half_size] for row in matrix[:half_size]] upper_right = [row[half_size:] for row in matrix[:half_size]] lower_left = [row[:half_size] for row in matrix[half_size:]] lower_right = [row[half_size:] for row in matrix[half_size:]] return upper_left, upper_right, lower_left, lower_right def add_matrix(matrix1, matrix2): return [[matrix1[i][j] + matrix2[i][j] for j in range(len(matrix1[0]))] for i in range(len(matrix1))] def sub_matrix(matrix1, matrix2): return [[matrix1[i][j] - matrix2[i][j] for j in range(len(matrix1[0]))] for i in range(len(matrix1))] def strassen(matrix1, matrix2): if len(matrix1) == 1: return [[matrix1[0][0] * matrix2[0][0]]] a, b, c, d = split_matrix(matrix1) e, f, g, h = split_matrix(matrix2) p1 = strassen(a, sub_matrix(f, h)) p2 = strassen(add_matrix(a, b), h) p3 = strassen(add_matrix(c, d), e) p4 = strassen(d, sub_matrix(g, e)) p5 = strassen(add_matrix(a, d), add_matrix(e, h)) p6 = strassen(sub_matrix(b, d), add_matrix(g, h)) p7 = strassen(sub_matrix(a, c), add_matrix(e, f)) upper_left = add_matrix(sub_matrix(add_matrix(p5, p4), p2), p6) upper_right = add_matrix(p1, p2) lower_left = add_matrix(p3, p4) lower_right = sub_matrix(sub_matrix(add_matrix(p1, p5), p3), p7) result = [[0 for _ in range(len(matrix2[0]))] for _ in range(len(matrix1))] for i in range(len(upper_left)): result[i][:len(upper_left[0])] = upper_left[i] + upper_right[i] for i in range(len(lower_left)): result[i + len(upper_left)][:len(lower_left[0])] = lower_left[i] + lower_right[i] return result</p>

3 <p>Пример использования:</p>

4 <p>matrix1 = [[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, 16]] matrix2 = [[17, 18, 19, 20], [21, 22, 23, 24], [25, 26, 27, 28], [29, 30, 31, 32]] result = strassen(matrix1, matrix2) for row in result: print(row)</p>