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def state_q0(i):
if i=="a":
globals()["state"]="q1"
elif i=="b":
globals()["state"]="D"

def state_q1(i):
if i=="a":
globals()["state"]="q1"
elif i=="b":
globals()["state"]="q2"


def state_q2(i):
if i=="a":
globals()["state"]="q1"
elif i=="b":
globals()["state"]="q2"

def state_Dead(i):
if i=="a":
globals()["state"]="D"
elif i=="b":
globals()["state"]="D"


state="q0"
input_string=input("enter the string in a&b:")

for i in input_string:
if i=="a" or i=="b":

match state:
case "q0":
state_q0(i)
case "q1":
state_q1(i)
case "q2":
state_q2(i)
case "D":
state_Dead(i)
case _:
pass

else:
state="invalid"

if state=="q2":
print("string is accepted")
elif state=="invalid":
print("string is invalid")
else:
print("string is rejected")
     
 
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