The World Anti-Doping Agency (Wada) had recommended they all be banned.

That was after its independently commissioned report found evidence of a four-year, state-run "doping programme" across the "vast majority" of Olympic sports.

But the International Olympic Committee (IOC) has said individual sporting federations must rule on whether Russians can compete.

Wada president Sir Craig Reedie said he was "disappointed" with that decision.

Russia's full Olympic team would have consisted of 387 competitors but the country's track and field athletes are already barred by athletics' governing body.

However, many other federations are yet to decide.

Of the 28 Olympic sports there are no Russian football, rugby, basketball or hockey teams.

The rest of the sports must rule and then put their decision forward to be ratified by the Court of Arbitration for Sport (Cas).

So which federations have decided already? And what have they decided?

On Monday, swimming's governing body banned seven Russian athletes from going to Rio. Four were barred because they had served doping bans in the past and the other three because they were mentioned in the Wada-commissioned report that alleged state-sponsored doping in Russia.

Fina said the "exact implication for the Russian Swimming Federation is still to be clarified" and an "ad hoc commission will have to investigate".

It also said it will re-test all the samples collected from Russian swimmers at the 2015 World Championships.

World Archery said the three Russians have been "tested extensively" and had no previous doping convictions. It expressed "shock and concern" over recent allegations but praised the IOC's "courageous decision" not to give Russia a "blanket ban".

Athletics

Russians competing: None. Russian athletes have already been banned, though long jumper Darya Klishina has been cleared to compete as a "neutral".

Yuliya Stepanova, the 800m runner whose evidence helped expose the Russian doping scandal, will not be allowed to do the same, however. The IAAF had previously cleared her to compete, but the IOC's latest ruling disallows any athlete with a previous doping ban.

Stepanova has since questioned that ruling, describing it as "unfair".

(BBC)