Colosseum wave pseudocode

//Rough pseudocode I came up with to determine maximum/minimum number of combinations for a colosseum run

blasphemy 	 1 2 3
frailty		 1 2 3
relentless	 1 2 3


bees		 1 2 3
doom		 1 2 3
scorp		 1 2 3
myopia		 1 2 3
reentry		 1 2 3
solar		 1 2 3
volatility	 1 2 3
quartet		 1
totemic		 1


dynamic		 1
redflag		 1


wave 1:  3 options

	 //possible combinations
wave 2:  if blasphemy 1
		b2 + 11 + 10 = 33 combinations
	 if frailty1
		F1 + 11 + 10 = 33 combinations
	 if Relentless1
		R1 + 11 + 10 = 33 combinations

	 //possible combinations
wave 3:  if quartet
	 	11 + 10 + 9 = 30 combinations
	 if totemic
		11 + 10 + 9 = 30 combinations
	 if lvl 3
		12 + 11 + 10 = 33 combinations
	 else
		12 + 11 + 10 = 33 combinations

	 //possible combinations
wave 4:  if quartet + totemic
		10 + 9 + 8 = 27 combinations
	 if lvl 3 + quartet
		10 + 9 + 8 = 27 combinations
	 if lvl 3 + totemic
		10 + 9 + 8 = 27 combinatins
	 if lvl 3
		11 + 10 + 9 = 30 combinations
	 else
		12 + 11 + 10 = 33 combinations

wave 5:  same as 4

wave 6:  same as 5

	 //possible combinations
wave 7:  if two level 3
	 	12 + 11 + 10 = 33 combinations
	 if 1 lvl 3 + quartet + totemic
		11 + 10 + 9 = 30 combinations
	 if 1 lvl 3 + quartet + totemic + redflag
		10 + 9 + 8 = 27 combinations
	 else
		14 + 13 + 12 = 39 combinations

	//possible combinations
wave 8: if two level 3 + quartet
		11 + 10 + 9 = 30 combinations
	if quartet + totemic + redflag + dynamic duo
		10 + 9 + 8 = 27 combinations
	if quartet + totemic + redflag + dynamic duo + one level 3
		9 + 8 + 7 = 24 combinations
	else
		14 + 13 + 12 = 39 combinations

wave 9:  same as 8

	 //new combination starting on wave 10
wave 10: if three lvl 3
		11 + 10 + 9 = 30 combinations
	 else
		same as 8

wave 11: same as 10

	 //possible combinations
wave 12: if three lvl 3 + quartet + totemic
		7 + 6 + 5 = 18 combinations
	 if no lvl 3 + no quartet + no totemic
		12 + 11 + 10 = 33 combinations


maximum combinations = 3 + (33*5) + (39*5) + 33 = 396 possible combinations
minimum combinations = 3 + 33 + 30 + (27*3) + 27 + (24*4) + 18 = 288 possible combinations