HIIT remains

 
def Ts(S):
	L = [1,0,0,0,0]	
	for i in S:
		if i == "H":
			L[1] += L[0]
		elif i == "I":
			L[3] += L[2]
			L[2] += L[1]
		elif i == "T":
			L[4] += L[3]
	return L[4]
 
def main():
	t = int(raw_input())
	res = []
	for i in range(t):
		res.append(str( Ts(raw_input()) ))
	print "\n".join(res)
	
	
main()

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED