growth_rates <[6]GrowthRate>

# num a b s c d e
0 0 1 1 0 0 0
1 1 4 3 5 0 30
2 2 4 3 10 0 70
3 3 5 6 71 100 140
4 4 5 4 0 0 0
5 5 4 5 0 0 0