The strategy for combating the offensive artists of the Washington Capitals, led by dynamo Alex Ovechkin, was so simple it seemed fool-proof.

Stay out of the penalty box and prevent the league’s best power-play unit from taking over.

The Coyotes didn’t do that – they committed nine penalties and, not surprisingly, fell into a two-goal hole – but they used their own prowess with the man-advantage to force extra time before completing the comeback with a 4-3 shootout win Saturday in front of 16,106 at Arena to remain unbeaten in regulation at home (8-0-1).

“Another routine night,” coach Dave Tippett said.

Captain Shane Doan scored his second power play goal of the night with 1:46 remaining to tie it at 3 before center Antoine Vermette and winger Mikkel Boedker scored in the shootout.

Both Capitals shooters, center Mikhail Grabovski and Ovechkin, were blanked on their opportunities.

“We gained confidence that we can be a resilient group, and it’s nice to know that we’re never down and out,” goalie Mike Smith said.

The Coyotes actually led 1-0 after they scored 22 seconds into their first power play at 9:16 of the first period. Defenseman Keith Yandle’s point shot caromed off traffic in front of goalie Michal Neuvirth’s crease, and Doan scooped up the rebound and shot it over Neuvirth.

“He put the team on his back, and everyone responded around him,” Smith said of Doan. “So it was great to see from a guy like that.”

The momentum started to shift after Boedker committed a pair of penalties. The latter carried over to the second and the Capitals converted only 38 seconds into the period after a bad line change by the Coyotes.

Winger Troy Brouwer was left alone at the blue line and after an outlet pass by defenseman Mike Green from behind the Capitals’ net, Brouwer skated in alone and his slap shot beat Smith.

“I thought we had the momentum there and after that first goal, it kind of sapped the energy out of us,” Smith said.

It only took 20 seconds into their next power play for the Capitals to go up 2-1 after defenseman John Carlson unleashed a one-timer from the slot at 3:48.

“You get in a special teams contest with them and I don’t like your chances,” Tippett said.

The calls started to even up. The Coyotes were on the power play for 1:21 when they were handed a 5-on-3 for 39 seconds. They had an opportunity to go back on a 5-on-3 advantage after the previous one expired when the Capitals were called for too-many men, but Smith touched the puck past the red line as he made his way to the bench for the extra attacker.

Rule 27.7 prohibits a goalie from participating in the action, including playing the puck, when he’s beyond center ice, so Smith was tagged with a delay-of-game penalty.