query_id
stringlengths 36
36
| fsm_id
stringclasses 640
values | fsm_json
stringclasses 584
values | difficulty_level
int64 1
4
| transition_matrix
stringclasses 581
values | query
stringlengths 412
1.46k
| answer
stringclasses 15
values | substring_index
int64 1
20
| number_of_states
int64 1
10
| number_of_alphabets
int64 1
8
| state_alpha_combo
stringclasses 80
values | example_query_id
stringclasses 160
values | example_fsm_id
stringclasses 160
values | input_alphabet
stringlengths 1
20
| simulated_solution
stringclasses 15
values | solution_verbose
stringlengths 77
381
| query_zero_shot
stringlengths 161
624
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
e6ebcb1d-459c-4519-a1dd-ebb98e83685a | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b ? | s0 | 2 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bb | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b ? |
05734d67-331d-49c6-b4e1-b395c8546c60 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b ? | s0 | 4 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbb | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b ? |
26e45719-e6b8-4c4f-ab55-ed9e1f53e777 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d d c b ? | s3 | 20 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcdadddcb | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d d c b ? |
77af2c62-a260-4609-9fb6-f1b454c6ce39 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d d c ? | s3 | 19 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcdadddc | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d d c ? |
6c18afaa-b59f-424a-ac0b-ae183ef8e4d8 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d d ? | s1 | 18 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcdaddd | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'd', s1)
(s1, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d d ? |
b52b68b5-a02a-40eb-a278-0cd6d3dbdc16 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d ? | s1 | 17 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcdadd | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
(s3, 'a', s8)
(s8, 'd', s1)
(s1, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d d ? |
c400ba10-7edb-4567-aa35-a54b80cab05d | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d ? | s1 | 16 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcdad | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
(s3, 'a', s8)
(s8, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a d ? |
dc41ceea-f351-4b81-be98-6108d90d05e2 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a ? | s8 | 15 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcda | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
(s3, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d a ? |
3496db51-d56b-4664-8c46-8f7fe65b5b37 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d ? | s3 | 14 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddcd | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
(s3, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c d ? |
e4bd358b-03f0-498b-a2ba-8e306ec55c3a | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b ? | s0 | 3 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbb | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b ? |
24c78637-884b-41d9-911e-1d690ee226c6 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c ? | s3 | 13 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacddc | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
(s1, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d c ? |
ccacf238-5ba0-448c-8ab0-6820b1c23aec | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d ? | s1 | 11 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacd | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d ? |
a23ace8d-f4f8-4597-85e9-336a32247b73 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c ? | s2 | 10 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbac | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c ? |
a8e80c39-e22b-4732-9de2-c257004ebaef | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a ? | s8 | 9 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacba | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a ? |
1026455d-f503-4622-aef9-0eca63ffa829 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b ? | s3 | 8 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacb | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b ? |
2cf7d89a-eac0-4bf8-8c8f-da68a39c023b | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c ? | s2 | 7 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdac | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c ? |
9fa864fd-2ee7-4de0-ac4a-b0b651eb6a47 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a ? | s8 | 6 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbda | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a ? |
d1cc81bd-246c-46f3-96d1-92f4753eda0e | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d ? | s1 | 5 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbd | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d ? |
ea875ec1-5fa8-4ac1-a9a8-3f87a1161322 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d ? | s1 | 12 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bbbbdacbacdd | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s1)
(s1, 'a', s8)
(s8, 'c', s2)
(s2, 'b', s3)
(s3, 'a', s8)
(s8, 'c', s2)
(s2, 'd', s1)
(s1, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b b b b d a c b a c d d ? |
63571f99-e5fc-4951-b2ea-11c63e83b9c9 | 70a04231-1883-42ef-ab34-71e0532ea82e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s8","s4":"s5","s5":"s6","s6":"s2","s7":"s8","s8":"s6","s9":"s6"},"b":{"s0":"s0","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s5","s6":"s4","s7":"s1","s8":"s4","s9":"s3"},"c":{"s0":"s8","s1":"s3","s2":"s5","s3":"s9","s4":"s8","s5":"s7","s6":"s5","s7":"s5","s8":"s2","s9":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s7","s5":"s7","s6":"s3","s7":"s7","s8":"s1","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b ? | s0 | 1 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | b | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s3 s0 s8 s1
s1 s8 s6 s3 s1
s2 s6 s3 s5 s1
s3 s8 s3 s9 s3
s4 s5 s4 s8 s7
s5 s6 s5 s7 s7
s6 s2 s4 s5 s3
s7 s8 s1 s5 s7
s8 s6 s4 s2 s1
s9 s6 s3 s8 s5
With the initial state: s0, and accepting states: ['s9', 's4'],
What will be the state after reading the following input: b ? |
49332a38-a9bc-4c51-b688-14bfc20d4b43 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c ? | s0 | 11 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddac | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c ? |
637086f4-8e13-434c-b039-383171333398 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c d a ? | s10 | 19 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaaddcda | s10 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
Final state: s10 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c d a ? |
6f2344de-a75f-48b1-b8cc-c53837706c1f | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a ? | s6 | 1 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | a | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a ? |
28d0b4ad-d6cd-46ec-a3c4-e38767c7cbd2 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b ? | s0 | 2 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | ab | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b ? |
8675ceff-f0a6-4334-8a96-f7d0b754c150 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d ? | s7 | 3 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abd | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d ? |
e3ac48f2-017c-4559-b1b5-5b8b9881dfe6 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a ? | s10 | 4 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abda | s10 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
Final state: s10 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a ? |
e37f0d3e-2e1a-493a-9e27-8b8d41ceabfb | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a ? | s1 | 5 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a ? |
75371b4d-994a-4f51-90e1-4542c58b1a45 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d ? | s3 | 6 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaad | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d ? |
f445251c-1a04-4e5b-9891-2d0d70bfeb7f | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d ? | s0 | 7 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaadd | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d ? |
12a1cfe0-13ee-4351-a63c-08c35f448ae9 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d ? | s7 | 8 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddd | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d ? |
66d49b63-8581-402c-9385-1ab6ae672942 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d ? | s0 | 9 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaadddd | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d ? |
ec126239-5817-4975-bd44-d4a39f1b5634 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a ? | s6 | 10 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaadddda | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a ? |
e4e805cf-c35d-405a-9af1-c2562f9dbbc4 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d ? | s7 | 12 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacd | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d ? |
25e4d341-d79b-4e30-853c-4237639d5a8a | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a ? | s10 | 13 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacda | s10 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
Final state: s10 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a ? |
2b8b7ce5-20e9-4dff-a78a-ffa49fb1b5fc | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a ? | s1 | 14 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a ? |
a492feb8-0964-466b-bf66-9efae4ea724e | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d ? | s3 | 15 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaad | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d ? |
82061cee-248c-4f8a-9405-6bfddf77fa55 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d ? | s0 | 16 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaadd | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d ? |
9c2f5b51-0550-489d-abe5-73e733b9a525 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c ? | s0 | 17 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaaddc | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c ? |
863ebabf-523d-45c2-b7ec-d8c2ff28bc18 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c d ? | s7 | 18 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaaddcd | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'c', s0)
(s0, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c d ? |
d191a348-0862-47bd-b560-844f494493a4 | b0a6547c-da15-4711-8d66-7ece6fb118d3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s6", "s9", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s10","s3":"s2","s4":"s6","s6":"s4","s7":"s10","s8":"s3","s9":"s6","s10":"s1"},"b":{"s0":"s2","s1":"s6","s2":"s0","s3":"s10","s4":"s6","s6":"s0","s7":"s10","s8":"s4","s9":"s8","s10":"s9"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s10","s6":"s0","s7":"s8","s8":"s6","s9":"s10","s10":"s9"},"d":{"s0":"s7","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s6":"s7","s7":"s0","s8":"s0","s9":"s4","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c d a d ? | s9 | 20 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | abdaaddddacdaaddcdad | s9 | Transitions (current_state, input, next_state):
(s0, 'a', s6)
(s6, 'b', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'd', s7)
(s7, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'a', s1)
(s1, 'd', s3)
(s3, 'd', s0)
(s0, 'c', s0)
(s0, 'd', s7)
(s7, 'a', s10)
(s10, 'd', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s6 s2 s0 s7
s1 s2 s6 s3 s3
s2 s10 s0 s3 s6
s3 s2 s10 s0 s0
s4 s6 s6 s10 s6
s6 s4 s0 s0 s7
s7 s10 s10 s8 s0
s8 s3 s4 s6 s0
s9 s6 s8 s10 s4
s10 s1 s9 s9 s9
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's9', 's8', 's3'],
What will be the state after reading the following input: a b d a a d d d d a c d a a d d c d a d ? |
21d21ba2-cf1c-415d-805e-9df070236800 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c ? | s9 | 1 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | c | s9 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c ? |
4d251488-131d-4155-9699-75c01f088c57 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b ? | s0 | 12 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddb | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b ? |
c6deecd5-7dde-48fc-87d1-100ba38e3e92 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a ? | s7 | 2 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | ca | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a ? |
4152e738-b88f-4e57-a211-b1786cb53b21 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b ? | s0 | 5 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacab | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b ? |
fa282e2f-4d54-495b-bb7a-64de50141153 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b ? | s8 | 6 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabb | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b ? |
fc44924d-34ed-46ff-b264-99a2e2caf943 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d ? | s2 | 7 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbd | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d ? |
6d8b78d7-03f1-4149-8d48-a12b4ec5e98a | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a ? | s5 | 8 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbda | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a ? |
ee65b40f-f264-4f9b-a80b-3b2f6174edfa | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b ? | s4 | 9 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdab | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b ? |
b162119c-bb86-4428-86ac-b90d582adc42 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d ? | s2 | 10 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabd | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d ? |
b9fb81be-62d6-4b38-a388-2a8a5f9105d2 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d ? | s7 | 11 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabdd | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d ? |
3fb2a64f-06b4-47c4-a77e-bd0c37d50c8d | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d ? | s6 | 13 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbd | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d ? |
67559444-57ed-4f7c-9c9e-87e5c98a7dc2 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d ? | s2 | 14 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbdd | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d ? |
458fa279-d480-44d5-8e26-d23476199759 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b ? | s3 | 15 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbddb | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
(s2, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b ? |
4d5991b5-ed83-4690-bf48-80f43947566f | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c ? | s6 | 16 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbddbc | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
(s2, 'b', s3)
(s3, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c ? |
261313d1-83cf-4475-8e5c-323de88f3f97 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b ? | s4 | 17 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbddbcb | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
(s2, 'b', s3)
(s3, 'c', s6)
(s6, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b ? |
498c01f0-25d0-445f-81e3-9b034b809028 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b c ? | s5 | 18 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbddbcbc | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
(s2, 'b', s3)
(s3, 'c', s6)
(s6, 'b', s4)
(s4, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b c ? |
dbdab5df-dbcc-4853-a7bc-6f3bb3238f13 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b c c ? | s3 | 19 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbddbcbcc | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
(s2, 'b', s3)
(s3, 'c', s6)
(s6, 'b', s4)
(s4, 'c', s5)
(s5, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b c c ? |
938a80c3-ed9f-4f16-8181-fd6054caaacf | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b c c c ? | s6 | 20 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cacabbdabddbddbcbccc | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s8)
(s8, 'd', s2)
(s2, 'a', s5)
(s5, 'b', s4)
(s4, 'd', s2)
(s2, 'd', s7)
(s7, 'b', s0)
(s0, 'd', s6)
(s6, 'd', s2)
(s2, 'b', s3)
(s3, 'c', s6)
(s6, 'b', s4)
(s4, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a b b d a b d d b d d b c b c c c ? |
f370ccd6-9ca4-413e-8757-1773f2fc34a4 | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a ? | s7 | 4 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | caca | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c a ? |
29409c63-c70f-4d68-b0d5-4f9852249a2e | b6345c0a-4748-47ea-8a0f-ee08c0764071 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s4", "s5", "s2", "s1", "s9", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s1","s4":"s1","s5":"s5","s6":"s7","s7":"s2","s8":"s5","s9":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s3","s3":"s7","s4":"s7","s5":"s4","s6":"s4","s7":"s0","s8":"s7","s9":"s8"},"c":{"s0":"s9","s1":"s2","s2":"s9","s3":"s6","s4":"s5","s5":"s3","s6":"s2","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s7","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s2","s9":"s4"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c ? | s1 | 3 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cac | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s9)
(s9, 'a', s7)
(s7, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s2 s8 s9 s6
s1 s7 s9 s2 s7
s2 s5 s3 s9 s7
s3 s1 s7 s6 s2
s4 s1 s7 s5 s2
s5 s5 s4 s3 s1
s6 s7 s4 s2 s2
s7 s2 s0 s1 s7
s8 s5 s7 s4 s2
s9 s7 s8 s0 s4
With the initial state: s0, and accepting states: ['s7', 's6', 's4', 's5', 's2', 's1', 's9', 's3', 's0'],
What will be the state after reading the following input: c a c ? |
2f97a357-1059-4bd9-8d20-3d72e7e8bdf0 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c ? | s4 | 3 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bcc | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c ? |
e934f436-bd3b-452e-924d-ccbd5aaa1418 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b ? | s6 | 1 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | b | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b ? |
646398de-f874-4af5-a576-921503033990 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d ? | s8 | 4 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccd | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d ? |
cbe457bc-495d-45f9-a7f2-25b66fc9197d | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a ? | s8 | 5 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccda | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a ? |
27a7222a-fb47-435c-a027-e1e7632ddb1d | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b ? | s5 | 6 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdab | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b ? |
09db7ae4-37b8-447a-be66-a807fe0d9a5b | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a ? | s2 | 7 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdaba | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a ? |
6d2c9786-faf4-4567-8689-4a07db744104 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a ? | s6 | 8 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a ? |
2932e8e3-8ed2-4bab-b89f-4442212a1b72 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b ? | s2 | 9 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaab | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b ? |
4589473c-8bef-4fe0-b444-be963791942f | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d ? | s5 | 10 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabd | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d ? |
0ada3b29-20ad-42b1-b5da-e07d6cc0b7e4 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c ? | s1 | 2 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bc | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c ? |
ff6f0c6a-5b18-4071-a4e7-f5f7fec69591 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d ? | s5 | 11 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabdd | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d ? |
0ece8600-0fab-4a85-bc71-9058c0546534 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a ? | s6 | 13 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a ? |
40f0c593-7866-4775-8056-7aea0f9fa989 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c ? | s1 | 14 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaac | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c ? |
a9dbf3fc-88f1-44c9-ab00-99caf478d33f | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c ? | s4 | 15 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaacc | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
(s1, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c ? |
da990998-0fb4-4734-86bf-be7bd276f363 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b ? | s2 | 16 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaaccb | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b ? |
9083557d-0fcc-4e55-9b0c-1160558f76e6 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b ? | s1 | 17 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaaccbb | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'b', s2)
(s2, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b ? |
ee2ebabe-ed78-4f1e-bae1-9b5f0748b003 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b d ? | s4 | 18 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaaccbbd | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'b', s2)
(s2, 'b', s1)
(s1, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b d ? |
a51f97a5-5be5-4ef8-9c4a-e5ebea6e9704 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b d a ? | s5 | 19 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaaccbbda | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'b', s2)
(s2, 'b', s1)
(s1, 'd', s4)
(s4, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b d a ? |
f020facf-ce50-4b77-93f7-f261f1a5bd63 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a ? | s2 | 12 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabdda | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a ? |
bb963353-d9af-48b8-aff3-c95a1a0f5329 | c3a4f6ef-0075-4c48-9b5c-85966ebcc5cb | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s6","s4":"s5","s5":"s2","s6":"s0","s7":"s0","s8":"s8","s9":"s7","s10":"s8"},"b":{"s0":"s6","s1":"s9","s2":"s1","s4":"s2","s5":"s1","s6":"s2","s7":"s0","s8":"s5","s9":"s5","s10":"s1"},"c":{"s0":"s7","s1":"s4","s2":"s9","s4":"s4","s5":"s7","s6":"s1","s7":"s5","s8":"s10","s9":"s4","s10":"s6"},"d":{"s0":"s5","s1":"s4","s2":"s5","s4":"s8","s5":"s5","s6":"s9","s7":"s0","s8":"s1","s9":"s9","s10":"s9"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b d a c ? | s7 | 20 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | bccdabaabddaaccbbdac | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'b', s2)
(s2, 'd', s5)
(s5, 'd', s5)
(s5, 'a', s2)
(s2, 'a', s6)
(s6, 'c', s1)
(s1, 'c', s4)
(s4, 'b', s2)
(s2, 'b', s1)
(s1, 'd', s4)
(s4, 'a', s5)
(s5, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s6 s6 s7 s5
s1 s1 s9 s4 s4
s2 s6 s1 s9 s5
s4 s5 s2 s4 s8
s5 s2 s1 s7 s5
s6 s0 s2 s1 s9
s7 s0 s0 s5 s0
s8 s8 s5 s10 s1
s9 s7 s5 s4 s9
s10 s8 s1 s6 s9
With the initial state: s0, and accepting states: ['s8', 's5'],
What will be the state after reading the following input: b c c d a b a a b d d a a c c b b d a c ? |
e4a2a76d-0cc3-4ef6-b3b7-5bde6df81338 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c ? | s5 | 1 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | c | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c ? |
a00cb427-e1dc-477a-b9dc-7bff14ff6eae | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b ? | s7 | 11 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcb | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b ? |
76067779-de5a-4141-8713-8df069d97d84 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b a a ? | s3 | 20 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdacaadbaa | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
(s7, 'a', s8)
(s8, 'a', s2)
(s2, 'd', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b a a ? |
c302fa20-2c82-4a77-95be-a0e4b92e8a08 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b a ? | s9 | 19 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdacaadba | s9 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
(s7, 'a', s8)
(s8, 'a', s2)
(s2, 'd', s5)
(s5, 'b', s1)
(s1, 'a', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b a ? |
a6064118-91b0-48e4-9be1-17876d29cd27 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b ? | s1 | 18 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdacaadb | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
(s7, 'a', s8)
(s8, 'a', s2)
(s2, 'd', s5)
(s5, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b ? |
219eb2e9-75f1-49ab-a5ad-c072438147ff | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d ? | s5 | 17 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdacaad | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
(s7, 'a', s8)
(s8, 'a', s2)
(s2, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d ? |
b736cc2b-517e-4ed7-b661-52a4db1cbad9 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a ? | s2 | 16 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdacaa | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
(s7, 'a', s8)
(s8, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a ? |
0c3e0eae-0356-4496-b480-fd54dd2c3b27 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a ? | s8 | 15 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdaca | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
(s7, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a ? |
de00cade-ff8c-436a-abbf-328bf4ff0907 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c ? | s7 | 14 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbdac | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
(s8, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c ? |
96820769-54b1-4490-8567-9e2ccbb3483f | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a ? | s8 | 13 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbda | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a ? |
49d6a560-c5e6-448e-bb49-96e5b4a64077 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d ? | s0 | 12 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbcbd | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
(s7, 'b', s7)
(s7, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d ? |
3a2f9567-b0a5-4f2b-ba3d-2311d3a06d47 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a ? | s9 | 3 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cba | s9 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a ? |
794ba2dc-fa3b-45a4-a2ab-5d87fd43dad8 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c ? | s7 | 10 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdbc | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
(s8, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c ? |
6e36d469-e953-41ac-a1d7-714baffca6ea | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b ? | s8 | 9 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababdb | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
(s0, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b ? |
80e486d4-a815-49d1-a733-16b6164d9fef | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d ? | s0 | 8 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaababd | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
(s7, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d ? |
4908b930-a72f-4e50-b6a5-c906ae846843 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b ? | s7 | 7 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaabab | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
(s7, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b ? |
b72970c3-1183-4800-b88a-b3b9d92195e1 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a ? | s7 | 6 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaaba | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
(s2, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a ? |
aa9e9c97-ead4-4f6a-953f-e70714620721 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b ? | s1 | 2 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cb | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b ? |
2092e080-ac6a-4ebb-a84f-7a268ba3af58 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b ? | s2 | 5 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaab | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
(s3, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b ? |
e4dfa755-f8fb-4bb5-9587-7f7e2f400c8d | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s4 s8 s6 s3
s1 s9 s2 s5 s6
s2 s0 s2 s2 s5
s3 s9 s4 s6 s2
s4 s7 s3 s5 s6
s5 s9 s2 s9 s7
s6 s8 s5 s6 s1
s7 s5 s8 s1 s1
s8 s2 s9 s3 s6
s9 s2 s1 s2 s5
With the initial state: s0, and accepting states: ['s6', 's7', 's4'],
What will be the state after reading the following input: a a c a d b c a a c a d a d c b c a d d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'a', s7)
(s7, 'c', s1)
(s1, 'a', s9)
(s9, 'd', s5)
(s5, 'b', s2)
(s2, 'c', s2)
(s2, 'a', s0)
(s0, 'a', s4)
(s4, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'c', s9)
(s9, 'b', s1)
(s1, 'c', s5)
(s5, 'a', s9)
(s9, 'd', s5)
(s5, 'd', s7)
Final state: s7
Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a ? | s3 | 4 | 10 | 4 | 10_4 | cc49b555-49ea-492b-9629-1af033b6d6f6 | 2451dff6-ae1c-42a8-ab71-4484ee48e54c | cbaa | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s5)
(s5, 'b', s1)
(s1, 'a', s9)
(s9, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a ? |