Here are some facts: Region Year GDP per Participation Capital per Total Factor capita (L/Pop) Worker Productivity (Y/Pop) (KIL) (A) Hong Kong 1960 4,325 36% 59,473 308 1990 23,522 46% 221,310 845 2014 46,641 52% 424,494 1,193 Taiwan 1960 2,068 30% 13,094 292 1990 14,772 41% 104,051 766 2014 41,378 48% 298,455 1,290 China 1960 1,099 41% 3,377 179 1990 2,311 55% 9,185 201 2014 12,524 58% 84,660 492 Notes: Data are from the Penn World Tables 9.0. Y/Pop is per capita GDP measured in 2011 US dollars PPP-adjusted. Participation is the fraction of the population in the labor force K/L is capital per worker measured in 2011 US dollars PPP-adjusted. Total Factor Productivity, A, is measured using the Cobb-Douglas production function, Y=AK13L2/3 Part 1: Use our growth accounting methodology to allocate annual average growth in per capita output to changes in average labor-force participation, capital per worker, and total factor productivity (TFP), for each of the three regions for the full sample, 1960-2014. Briefly discuss which factor has been most important for each country