The Games are being sold on the premise that they will represent "the greatest party in the history of sport". And talking to a couple of locals who auditioned for roles in an opening ceremony that is being directed by Fernando Mereilles, the man behind the brilliant Rio movie City of God, the suggestion is that from the off the city may well sing. But just over four months from the grand opening junket in the Maracana stadium, several significant issues remain that could yet compromise such bold intention.
Politics
When the Games begin, Brazil's past two Presidents could be facing criminal charges. Three million people took to the streets last month to demand the impeachment of Rousseff over her involvement in a corruption scandal involving the Petrobras oil company.
The demonstration filling Rio's Copacabana Beach was the largest in Brazilian history, with hundreds of thousands marching to show their anger at graft in high places. The sense of crisis has not been eased by Rousseff's decision to appoint former President Luiz Inacio Lula da Silva as her chief of staff, a move characterised as a flagrant attempt to gift him immunity from prosecution. The Supreme Court quashed the move but Rousseff is appealing.
As yet no connection has been made between the Olympics and the wider corruption issues, but Rio's Mayor, Eduardo Paes - the Games' chief architect - has been linked to ex-President "Lula". And a recently leaked recording of a telephone conversation between the two men exposed how much the mayor is banking on the event for personal advancement: he had hoped a successful staging would propel him into the presidency. More significantly, the crisis has meant a temporary freeze on new government spending, thus curtailing the emergency central funding Paes was hoping to call on for last-minute infrastructure improvements.
Transport
Rio's Achilles heel. The city's metro system is decades behind that in London where the last Olympics were held. On the roads the rocky spine of hills that splits downtown from the Barra area, where the Olympic Park is sited, creates a natural bottleneck; last week it took 90 minutes to drive from the athletes' village to the Joao Havelange athletics stadium. Since the road link is in places single carriageway, even Olympic lanes are unlikely to speed the flow.
But the worst news involves the new subway line, which was intended to whisk spectators to and from the park. The deadline for completion is July 1; test trains were due to be running on the track late last month. But since the rails have not yet been laid along much of the route, and several bridges remain in a state of half-completion, that seems unfeasible. More than 10,000 workers are engaged on the project. But pictures posted on social media of a group of them having a mid-morning nap under an as-yet unfinished viaduct did not indicate a gathering sense of urgency.
Pollution
For the past 150 years much of Rio's sewage - and a good proportion of its rubbish - has been dumped daily into Guanabara Bay. The first initiative to clean up the mess dates from 1866. But it was the decision to site the Olympic sailing in the Bay, with its photogenic backdrop of Sugar Loaf mountain, that finally concentrated minds.
In 2009, when Rio won the right to stage the Games, only 12 per cent of the sewage was treated. The published aim then was to lift that to 80 per cent by the start of the sailing event. So far, it's hit 50 per cent.
Recent pictures of detritus lining the beach suggest the sailors will be confronted by all sorts floating in the water, from animal carcasses to discarded sofas. But more alarming are the independent testing results which show that the water contains levels of disease-causing viruses 1000 times higher than considered acceptable in the United States. Anyone on board a boat would be advised not to fall in.
Ticket Sales
Half the tickets have been sold, well behind the same stage for London 2012. The official rationale for the slow uptake is that Brazilians are traditionally late buyers and that the number sold thus far represents a huge figure by local standards. Which may sound a plausible explanation until you hear British band Coldplay sold out their recent gig at the Maracana within half an hour of tickets going on sale.
The organisers are hoping the torch relay will give a further sales impetus locally, but recognise several sports - golf and rugby among them - have limited reach in the country. Pricing, though, is not reckoned an issue, and 3.8 million of the 7.3 million Olympic tickets on offer will be sold for less than US$30 ($43.51). And payment can be spread across four months, without interest. For the Paralympics, of the three million total, two million will be available for under US$4, again in instalments.
Zika
"The uninvited guest at a party that is almost ready" is how Andrade described the virus. Dozens of Brazilian babies have been born this year affected by Guillain-Barre syndrome and microcephaly, two conditions associated with the mosquito-borne infection.
Significant insecticide initiatives have been undertaken around Rio, including a British-based project to release genetically modified mosquitoes. The Olympic Park - next to a lagoon - and the rowing lake are the most vulnerable areas of the city, built in places where the insects breed. The organisers plan to issue athletes and spectators with detailed instructions of how to take preventive measures.
Venues
Last week the cycling test event was postponed. This won't have surprised anyone who has visited the Olympic Park recently. Its velodrome is not much more than a breeze block shell. After a contractual dispute with the original construction company, the building appears about as close to delivery as the long-delayed British inquiry into the Iraq war. The ventilation system has not yet been fitted, so the Siberian pine track is nowhere near being laid.
A new completion target date of May 31 has been issued, with a revised trial run on June 25. But the organisers insist this is the exception: of 44 test events, the cycling is the only one to be postponed. The overwhelming majority of the stadiums are built, and around the Olympic Park, final touches are being added, trees and shrubbery already planted along the 1km raised walkway. Everything looks ready.
The only exception is the velodrome, which appears to be working to a completion timetable for the Tokyo Games in 2020.
