TRENCIN, Slovakia (Reuters) - More than 3.6 million Slovaks - two thirds of the population - took part in a widely-watched nationwide coronavirus testing programme over the weekend, Prime Minister Igor Matovic said on Monday.The scheme to test the bulk of a country in two days is being studied by other nations looking for ways to slow the virus and avoid overwhelming their health systems. A total of 38,359 people or 1.06% of those who took part tested positive and must quarantine, Matovic told a news conference. “I deeply believe that this solution will work in Slovakia on the condition that those who received certification that they are negative will continue to act responsibly, and those who got a positive result will remain in quarantine with their families,” he added. The premier has been pushing the programme as a decisive way to slow the spread of the virus and avoid a widespread lockdown. It has faced opposition from some experts who say the antigen tests that Slovakia used - quicker but less accurate than standard PCR tests - are better suited for targeted programmes and need to run with other measures. Matovic said the government was aware of those concerns but felt that even a 50% success rate in revealing infected people would help.