Assume that the production function for a country is given by Y=K⎯⎯⎯√ and annual investment is given by the function =×Y where γ=0.310 , and that the yearly depreciation rate is 5.17 %. Suppose that this year, the output in the country is 1, and a neighbor country's output is 50% higher. Calculate the time it would take for the country's output to catch up with its neighbor's output. Assume the neighbor country's economy is neither growing nor shrinking.