Russia's midfielder Denis Cheryshev celebrates after scoring their fourth goal during the Russian Federation 2018 World Cup Group A football match between Russian Federation and Saudi Arabia at the Luzhniki Stadium in Moscow on June 14, 2018.
"There are no words to express what I'm feeling right now", said Cheryshev, who was recalled to the Russian Federation squad in March after an absence of more than two years.
Golovin kept a cleared corner alive and delivered a floated cross to the back post, with Gazinskiy exploiting slack Saudi marking to plant a firm header past Abdullah Al-Mayoof. Russian Federation next play Egypt on Tuesday in St Petersburg while the Saudis face Uruguay the following day in Rostov-on-Don.
Russian President Putin, 65, held his arms out boastfully in the direction of Saudi Arabia's crown prince Mohammad bin Salman.
Saudi Arabia will take the field on Thursday as lengthy +800 underdogs.
The crowd were then treated to a fabulous finale as Cheryshev cleverly steered home the fourth with the outside of his foot before Golovin capped a great personal performance by curling his free kick beyond the wall to get the month-long Moscow party well and truly started.
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Russia's players were significantly taller and heavier than the Saudis, a help when challenging for the ball and when the penalty area was crowded.
Creative fulcrum Alan Dzagoev, who has often suffered misfortune around big tournaments, had to go off after just 20 minutes with a suspected hamstring injury, to be replaced by Villareal's Denis Cheryshev.
Russia's bench players had their day of glory.
But Russia's win was all but sealed in the 71st minute with Golovin again the creator, the CSKA Moscow midfielder producing a lovely centre from the right that allowed Dzyuba to nod in within two minutes of his introduction.
Raised in Spain, where his father Dmitry taught at Real Madrid's youth academy, Cheryshev showed his technical skills by beating the two Saudi defenders before his first goal. "The opposing team did not have to make a huge effort to win". "But we are still enjoying watching the games in this atmosphere", she said.