Prolific puzzle inventor Henry Ernest Dudeney published the following problem in his 1917 book Amusements in Mathematics.The current version of the U.K.'s Union Jack flag was introduced in 1801. This image is a simplified version of the Union Jack that just consists of lines. Try to trace the lines with a pencil while only going through each line once. You should also lift the pencil from the paper and place it somewhere else as rarely as possible. Is it possible to draw the line version of the Union Jack in one go? If not, how many times do you have to reposition the pencil at minimum?, 2, 3 and 6 among the nine fields of the grid below so the product of the three numbers in each row, each column and each of the two diagonals is the same.