One Pass at a Time

Computing · Page 1 of 2

Name Date
DIRECTIONS: Start at the left. Wrong way round? Swap the two. Move along one. Keep going to the end: that is one pass.
start
5
2
8
1
9
3
swaps?
pass 1
pass 2
pass 3
pass 4
pass 5
Write the row after each pass, and its number of swaps. Stop when a pass has no swaps.

How You Know It Stopped

Computing · Page 2 of 2

DIRECTIONS: Look back at your passes and answer these.
QuestionYour answer
How many passes did you need before one had no swaps?
How many swaps did you make on the very first pass?
How many on the last pass that still had some?
Did the number of swaps ever go up from one pass to the next?
The swaps never go up, and they run out. So this method always finishes.
Now 1 2 3 4 5 6. Do one pass.

How many swaps?       So how many passes did the whole thing take?