The Montréal Canadiens picked the Wright time to bottom out in the NHL standings.

Yes, the pain of finishing in 32nd place some 300 days after skating in the Stanley Cup Final is real, but the payoff is the Canadiens now hold the best odds in the history of the NHL Draft Lottery.

With the implementation of new Draft Lottery rules, the Habs will have an effective 25.5 percent shot at the No. 1 overall pick and projected selection Shane Wright when the ping pong balls are plucked at the NHL Network’s New Jersey studios on Tuesday night at 6:30 p.m. ET.

The Canadiens are hosting the 2022 NHL Draft at Bell Centre on July 7-8.

The previous best odds for the last place finisher were 25 percent – from 2000 through 2014 – and it isn’t just the half percent boost that makes Tuesday advantageous for the Canadiens. From 2015 through 2020, the best odds available were 18.5 percent, and the Sabres won the rights to Owen Power in 2021 with the worst over the last few decades at just 16.6 percent with the arrival of the Seattle Kraken.

For most of the last two decades, it has always been more likely that last place team slides to No. 4 overall, with percentages ranging anywhere from 36 to 48 percent.

But the Canadiens cannot fall any lower than the No. 3 pick on Tuesday, as the rule changes announced last spring are implemented for the first time, which limits how far the worst finisher can fall.

The impetus for change came about after the league’s worst team tumbled to No. 4 three times in four years in 2017, 2019 and 2020.