Just 12 minutes into the match, the Saudi backline got caught out of place after a corner kick, leaving a wide open opportunity for Yury Gazinsky to score the opening goal of the tournament.
With President Vladimir Putin watching, Cheryshev chipped the ball over two Saudi defenders in the 43rd minute and shot over goalkeeper Abdullah Al Muaiouf's right side.
Russian Federation made it 3-0 in the 71st minute when Golovin chipped in a cross for giant striker Dzyuba to rise unchallenged to head in from close range.
The Green Falcons earned their first World Cup berth since 2006 by going undefeated during AFC World Cup qualifying, but have stumbled through pre-tournament friendly action, going 3-1-5 including losses in their past three games to Italy, Peru, and Germany. Even if Trump wins re-election, his presidency would end before the 2026 World Cup.
Saudi Arabia goalkeeper Abdullah Almuaiouf is beaten by a free kick from Russia's Alexander Golovin in extra-time of their World Cup opener.
It also helps if you are facing a team who have now lost eight and drawn two of their last 10 World Cup matches, whose defending fell painfully short of World Cup standard and whose attack was non-existent.
The hosts could hardly have dreamt of a better start to their home tournament, putting the Saudis to the sword with the last two goals coming in added time.
Russian Federation meet Egypt in their next match on Jun 19 in Saint Petersburg, while Saudi Arabia will look to rebound against group favourites Rostov-on-Don a day later.
Only South Africa, in 2010, have failed to qualify from the group as the host nation, and Russian Federation must still get a positive result against Egypt and Uruguay to emerge from Group A.
Coach Juan Antonio Pizzi does not speak any Arabic but it will not take long for them to become aware of his Spanish description of their performance as shameful.
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