## graphical sequences - graph theory

i have a question to do with graph theory and i have the complete answer but im not sure how to do some of the steps.

the question is: determine whether the sequence $s$ below is graphical and, if so, find a graph having $s$ as its degree sequence:

$s$: 5, 5, 4, 4, 3, 3, 3, 1, 0, 0

5 5 4 4 3 3 3 1 0 0
4 3 3 2 2 3 1 0 0
4 3 3 3 2 2 1 0 0
2 2 2 1 2 1 0 0
2 2 2 2 1 1 0 0
1 1 2 1 1 0 0
2 1 1 1 1 0 0
0 0 1 1 0 0

and then there are pictures of the graphs for each line, which i understand, but i dont understand the method of getting 5 5 4 4 3 3 3 1 0 0 to 0 0 1 1 0 0 ...can someone please explain this?