This algorithm does not work as stated. In the insertion example, the numbers were cooked so it would work. Change the 1 to a 3 -- now at the end the last col

This algorithm does not work as stated. In the insertion example, the numbers were cooked so it would work. Change the 1 to a 3 -- now at the end the last column is 3-2-3, so it is no longer a Young Tableau.