=== step 0 === 112122 ...122 2.11.2 2..1.. ....2. 1.1122 === step 1 === .12..2 1..... .11..2 .211.. .11..2 ...122 === step 2 === .1.... 1..... 1..1.. 1..11. .1...2 ..1122 === step 3 === ...... 11.... 11.11. 11111. .1...2 ..1122 === step 4 === ...... 111... ....1. .....2 1....2 ..1122 === step 5 === .1.... .1.... .1.... ....22 ...1.2 ...122 === step 6 === ...... 111... ...... ....22 ...1.. ...1.2 === step 7 === .1.... .1.... .1.... ....2. ...1.2 ....2. === step 8 === ...... 111... ...... ....2. ...1.2 ....2. === step 9 === .1.... .1.... .1.... ....2. ...1.2 ....2. === step 10 === ...... 111... ...... ....2. ...1.2 ....2.