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Belgium, who became the third team after Italy and the Netherlands to win all three group games, will face one of the third-placed sides in the round of 16 on Sunday.
Denmark will meet Wales in the last 16 in Amsterdam on Saturday.
Georginio Wijnaldum scored twice and Memphis Depay added to his goal haul in a 3-0 Netherlands win over North Macedonia.
Austria beat Ukraine 1-0 in their final Group C match to finish second and set up a last-16 clash with Italy.
With the Dutch playing their first championship since the 2014 World Cup, the people of the Marktweg in The Hague decided to go for an "extreme" makeover to mark the national team's comeback at the international stage at Euro 2020.
The Gulf nation hosts the four-week tournament in November-Deecember, 2022, and the president of global soccer body FIFA has said the matches would be held in full stadiums.
The 21-year-old said he had persuaded his teammates to copy the hairstyle if they capture their first major trophy in 55 years.
Peru, who reached the final of the last Copa America but had won just two of their 12 games since, got off to a good start in Goiania.
The Swiss, who beat Turkey 3-1, could still advance as one of the four best third-placed teams.
The Serbian has coached in the top divisions in Belgium, Slovakia and Cyprus.
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