Ositus

def better_split(s: str, gates: str): #-> list[str]:
    gates += "1"
    result = []
    previous = 0
    for i in range(len(gates)):
        if gates[i] == "1":
            result.append(s[previous:i+1])
            previous = i+1
    return result

def check(s: str) -> int:
    n = len(s)
    instructions = []
    for i in range(2**(n-1)):
        instructions.append(bin(i)[2:].zfill(n-1))
    
    result = 0
    for gates in instructions:
        ok = True
        for substring in better_split(s, gates):
            if len(substring) != len(set([c for c in substring])):
                ok = False
                break
        if ok:
            result += 1

    return result

print(check(input()))

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

Test 5

Group: 2, 3

Verdict: TIME LIMIT EXCEEDED

Test 6

Group: 3

Verdict: RUNTIME ERROR

Test 7

Group: 3

Verdict: RUNTIME ERROR