RIO DE JANEIRO -- Shaking to samba and sharing reflections in uniquely Brazilian ways, Olympians and fans said goodbye to the Rio Games with one last big bash that was both revelatory and a sigh of relief.The Rio Games, the first in South America, were a 16-day spectacle that combined numerous highlight reel moments with ugly and even bizarre episodes that sometimes overshadowed the competitions. And Rio residents, known as Cariocas, were not about to let sporadic rains and strong wind gusts get in the way of a final hurrah.These were marvelous Olympic Games in the `marvelous city, said International Olympic Committee President Thomas Bach, playing off the cidade maravilhosa nickname of Brazils postcard city of inviting coastlines, year-round sun and lush tropical vegetation.While the stadium erupted in applause at that designation, a few minutes later there were boos of sadness when he announced: I declare the Games of the XXXI Olympiad closed.The closing ceremony in iconic Maracana Stadium was also meant to take care of some business -- formally signaling the transition to the 2020 Summer Olympics in Japan.But Sundays party was all about Brazil, designed to be more low-key than the opening, which focused heavily on Rio.The ceremony featured original footage of Alberto Santos Dumont, the man that Brazilians recognize as the inventor of the airplane. The theme, Brazilians can do with their bare hands, was a nod to the emerging economy of the worlds fifth most populous nation.Dressed in colorful feathers, dozens of dancers formed in the shape of the arches of Lapa, a popular area of Rio akin to Roman ruins, then morphed to make the shape of iconic Sugarloaf before quickly changing again, this time to the official 2016 symbol.Samba legend Martinho da Vila, whose tunes make their way into many popular telenovelas, sang Carinhoso, or Affectionate.The athletes poured in under light rain, waving their flags while many shook their bodies to samba-infused pop that made the stadium feel like a Carnival parade. Britains athletes wore shoes with soles that lit up in changing colors of red, white and blue, while Tongan taekwondo athlete Pita Taufatofua danced onstage in a grass skirt as a DJ performed, reprising a moment that captured attention when he carried the flag for his country during the opening ceremony.The show widened its lens to greater Brazil, a massive country with a land mass slightly larger than the continental United States. There was a tribute to cave paintings of some of the first inhabitants of the Americas, in Serra da Capivara, in Northeastern Brazil, today the nations poorest region.Spectators got to see performers shake it to frevo, a frenetic dance that -- if its even possible -- makes high-octane samba seem like a staid ballroom affair. Holding small umbrellas, dancers jumped and marched while performing acrobatics.They shook it to Vassourinhas, which means small brooms, a popular song that was also the name of a famous club in the northeastern city of Recife.The show also built performances around saudade, which means anything from longing for someone to sadness to remembering good times. It is one of the most important words in Brazilian Portuguese. Lights flashed translations for the word in many languages, and a group of women sang Mulher Rendeira, or Lace-making Woman, a nod to the countrys African heritage. Brazil was the last country in the Americas to outlaw slavery, in 1888.The games had many memorable moments, both for Brazilian competitors at home and athletes from around the world.Soccer-crazed Brazil got partial payback against Germany, winning gold two years after a 7-1 World Cup semifinal shellacking that left many in Latin Americas largest nation fuming. American gymnast Simone Biles asserted her dominance with four golds, swimmer Michael Phelps added five more to up his staggering total to 23 and the worlds fastest man, Usain Bolt, put on his usual show with three golds just days before turning 30 years old.But there were also ugly episodes, like American swimmer Ryan Lochtes fabricated story about a harrowing robbery that was actually an intoxicated-fueled vandalism of a gas station bathroom, and bizarre issues like Olympic diving pools going from crystal blue to gunky, algae green -- at a time when Rios water quality in open waters is one of the biggest local environmental issues.Theres widespread expectation that the games in Tokyo, one of the worlds richest, most recognizable, cosmopolitan cities, will run more smoothly than they have in Rio. But theres also worry in Japan over whether the Olympics will eventually further drag down an economy that has been struggling for decades.The governor of Tokyo, Yuriko Koike, accepted the flag from International Olympic Committee President Thomas Bach and Rio Mayor Eduardo Paes, signaling the transition.Many people, from Brazilians to IOC members, will analyze how things went for the Rio Games in the months ahead. But on Sunday, one strong sentiment was relief -- that despite some problems, overall the games went well.That wasnt a given going in. The Zika virus scared away some competitors and tourists, rampant street crime in Rio and recent extremist attacks around the world raised fears about safety and Brazils political crisis, and the economic angst behind it, threatened to cast a pall over the competitions.We are very resilient, we didnt leave anything important unaddressed, said Augusta Porto, 36, a translator and Rio resident. We can welcome people despite the serious problems that we have faced in the recent past.---This story has been corrected to reflect that Brazil lost to Germany in the 2014 World Cup semifinal, not final.---AP Summer Games website: http://summergames.ap.org---Peter Prengaman on Twitter: www.twitter.com/peterprengamanMauricio Savarese on Twitter: www.twitter.com/MSavareseCheap Air Max 270 .In my heart and mind Im competing for India, luge competitor Shiva Keshavan told The Associated Press in an email interview. Every day Im flooded with messages from Indians all over the world telling me they are supporting me. Cheap Air Max 270 China . They were putting most of their energy into a record-setting offensive display. http://www.cheapairmax270.net/ . - Baltimore Ravens quarterback Joe Flacco is not a fan of his teams use of the wildcat formation, saying "it makes you look like a high school offence. Cheap Air Max 270 Sale . But what about the officials? 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Great Britain will face New Zealand in the pool stages of the Rio Olympics Rugby Sevens.The draw was made in Brazil on Tuesday, which saw Kenya and Japan also placed in Pool C.Pool B will comprise of South Africa, Australia, France and Spain, while favourites Fiji are in Pool A along with Argentina, hosts Brazil, and defending Olympic champions the United States.The competition will run from Aug. 9-11 at Deodoro Olympic Park, where the top two teams from each pool, plus the two best third-placed sides, will progress to the quarterfinals.In the womens draw, Pool A has top seeds and reigning World RRugby Womens Sevens Series champions Australia with USA, Fiji and Colombia.ddddddddddddreat Britain are in Pool C, where they will meet Brazil, Canada and Japan.New Zealand, Spain, France and Kenya will contest Group B.Incoming World Rugby Chairman Bill Beaumont said: I anticipate that it will be one of the highlights of Rio 2016 as we showcase this great sport to a new audience of hundreds of millions around the world and inspire the next generation to get into rugby. 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