8 перестановка, Г после А и И

#8 https://kpolyakov.spb.ru/school/ege/gen.php?action=viewVar&answers=on&varId=14
alph = 'ГЛУБИНА'
cnt = 0
for q in range(7):
    for w in range(7):
        if w in [q]:
            continue
        for e in range(7):
            if e in [q, w]:
                continue
            for r in range(7):
                if r in [q, w, e]:
                    continue
                for t in range(7):
                    if t in [q, w, e, r]:
                        continue
                    for y in range(7):
                        if y in [q, w, e, r, t]:
                            continue
                        u = sum(range(7)) - sum([q, w, e, r, t, y])
                        s = alph[q] + alph[w] + alph[e] + alph[r] + alph[t] + alph[y] + alph[u]
                        if s.index('А') < s.index('Г') and s.index('И') < s.index('Г'):
                            cnt += 1
print(cnt)