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73 def findMax(rows): 74 for row in range(len(rows)-1, 0, -1): 75 # print("row=",row) 76 for col in range(0,row): 77 # print(rows[row][col],rows[row][col+1]) 78 rows[row-1][col] += max(rows[row][col],rows[row][col+1]) 79 print(rows[row-1][col]) 80 print("\n") 81 return rows

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11 def leftmost_min_element_divide_and_conquer( 12 matrix, leftmost_min_element_in_each_row, row_start, row_end, step): 13 if row_start == row_end: 14 leftmost_min_element_in_each_row[row_start] = \ 15 find_leftmost_min_element_in_row( 16 matrix, row_start, 0, len(matrix[row_start]) - 1) 17 else: 18 # Construct a submatrix consisting of the even-numbered rows 19 sub_matrix_row_start = row_start + step 20 sub_matrix_row_end = 0 21 22 if row_end % 2 == 0 or ((row_end - row_start) // step) % 2 == 0: 23 sub_matrix_row_end = row_end - step 24 elif ((row_end - row_start) // step) % 2 == 1: 25 sub_matrix_row_end = row_end 26 27 leftmost_min_element_divide_and_conquer( 28 matrix, leftmost_min_element_in_each_row, 29 sub_matrix_row_start, sub_matrix_row_end, step * 2) 30 31 leftmost_min_element_in_odd_numbered_rows( 32 matrix, leftmost_min_element_in_each_row, row_start, row_end, step)

199 def matrix_elem(matrix, i, j, val=None): 200 """ 201 Reads/writes the elements of an affine transform. 202 203 1. 3x3 rotational component; 204 matrix_elem(m, i, j) for i=0..3, j=0..3 205 2. 3x1 translational component: 206 matrix_elem(m, 3, i) for i=0..3) 207 """ 208 k = i*3 + j 209 if val is None: 210 return matrix[k] 211 else: 212 matrix[k] = val 213 return val