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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
00633d21-255d-4c4f-a16d-4ab09d7a1253 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c ? | s5 | 16 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccadac | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s3)
(s3, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c ? |
b4d38127-8797-4b61-90d9-c146fc9b8a42 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d ? | s5 | 1 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | d | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d ? |
2f9fb870-f320-4cbb-bb7b-9904033c2f32 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d ? | s9 | 2 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dd | s9 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d ? |
50da59a5-6ccb-4615-a3d7-9ecfe4d8a266 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d ? | s0 | 3 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | ddd | s0 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d ? |
c9fbfaa1-7dd1-47a3-b781-fba8582a5829 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c ? | s3 | 4 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddc | s3 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c ? |
dca83a59-73ac-456e-9dc5-7022845fe3e6 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d ? | s9 | 5 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcd | s9 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d ? |
f5e31f37-8d30-4e41-9384-b956c484b841 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a ? | s3 | 15 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccada | s3 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a ? |
a5dc3765-183a-4bb3-8115-98fcb82a568f | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b ? | s5 | 6 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdb | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b ? |
73adaae2-ab0e-419f-84d3-f5ef8961fcfa | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d ? | s9 | 8 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcd | s9 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d ? |
9a546c44-a7a9-464e-a975-9e646ad81305 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a ? | s3 | 9 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcda | s3 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a ? |
edd0c878-195c-4fae-b444-0d236755528f | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c ? | s5 | 10 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdac | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c ? |
0da24b89-df16-44b0-9025-645d31f4fbd4 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c ? | s3 | 11 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacc | s3 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c ? |
776477fd-5577-46e0-aab1-5bed0ce37273 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a ? | s6 | 13 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdaccca | s6 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a ? |
a9d51e35-2efa-4188-bb62-9a81028e45b1 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d ? | s6 | 14 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccad | s6 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d ? |
6d80d9d3-a138-494e-ac8a-e5657ef988ac | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d c ? | s2 | 18 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccadacdc | s2 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s3)
(s3, 'c', s5)
(s5, 'd', s9)
(s9, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d c ? |
7674825e-f336-4329-a6e0-58d9e8af7607 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d ? | s9 | 17 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccadacd | s9 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s3)
(s3, 'c', s5)
(s5, 'd', s9)
Final state: s9 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d ? |
ea3b3c8f-636c-4bba-ba6d-c8dbb0e2c27d | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c ? | s3 | 7 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbc | s3 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c ? |
d2a1e9cb-b7ce-451c-8cbb-1b209d71b29f | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c ? | s5 | 12 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdaccc | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c ? |
e800f1f0-bf00-4abd-b270-372b17bb4355 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d c c a ? | s6 | 20 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccadacdcca | s6 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s3)
(s3, 'c', s5)
(s5, 'd', s9)
(s9, 'c', s2)
(s2, 'c', s5)
(s5, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d c c a ? |
731ad352-d96c-46ff-9c1b-95487babf053 | 8bfae3bb-5ea9-437f-afa0-ab6590956580 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s9", "s10"], "alphabets": "abcd", "accepting_states": ["s3", "s10", "s6", "s2", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s9","s3":"s0","s5":"s6","s6":"s3","s7":"s9","s9":"s3","s10":"s6"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s6","s5":"s1","s6":"s6","s7":"s10","s9":"s5","s10":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s5","s5":"s3","s6":"s9","s7":"s3","s9":"s2","s10":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s9","s5":"s9","s6":"s6","s7":"s5","s9":"s0","s10":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d c c ? | s5 | 19 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | dddcdbcdacccadacdcc | s5 | Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'd', s9)
(s9, 'd', s0)
(s0, 'c', s3)
(s3, 'd', s9)
(s9, 'b', s5)
(s5, 'c', s3)
(s3, 'd', s9)
(s9, 'a', s3)
(s3, 'c', s5)
(s5, 'c', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s6)
(s6, 'a', s3)
(s3, 'c', s5)
(s5, 'd', s9)
(s9, 'c', s2)
(s2, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s10 s1 s3 s5
s1 s2 s1 s7 s3
s2 s9 s5 s5 s9
s3 s0 s6 s5 s9
s5 s6 s1 s3 s9
s6 s3 s6 s9 s6
s7 s9 s10 s3 s5
s9 s3 s5 s2 s0
s10 s6 s1 s0 s3
With the initial state: s0, and accepting states: ['s3', 's10', 's6', 's2', 's5', 's1'],
What will be the state after reading the following input: d d d c d b c d a c c c a d a c d c c ? |
ad7fb35c-733d-4985-9cdc-8f171e8fe958 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a b b d ? | s3 | 20 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddcababbd | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
(s6, 'a', s0)
(s0, 'b', s5)
(s5, 'a', s1)
(s1, 'b', s5)
(s5, 'b', s8)
(s8, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a b b d ? |
6d00ad3b-c113-4816-b6a7-0d6b4dd1c5c2 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a b b ? | s8 | 19 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddcababb | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
(s6, 'a', s0)
(s0, 'b', s5)
(s5, 'a', s1)
(s1, 'b', s5)
(s5, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a b b ? |
a4da1b70-4352-4f87-8933-5cd52c10fcab | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a b ? | s5 | 18 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddcabab | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
(s6, 'a', s0)
(s0, 'b', s5)
(s5, 'a', s1)
(s1, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a b ? |
07bcd621-aa50-4148-bb5a-7984e086c5e5 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a ? | s1 | 17 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddcaba | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
(s6, 'a', s0)
(s0, 'b', s5)
(s5, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b a ? |
81381526-1d0e-4009-a1aa-4bd41997baae | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b ? | s5 | 16 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddcab | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
(s6, 'a', s0)
(s0, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a b ? |
b05c6772-6516-423d-88da-9bb207bad8e9 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a ? | s0 | 15 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddca | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
(s6, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c a ? |
172c4064-09e4-4172-baa6-0a80fe2168ff | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d ? | s4 | 13 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabadd | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d ? |
7db0875a-bb6b-4fd6-aa63-07952baecb48 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d ? | s7 | 12 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabad | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d ? |
f3599b35-561b-4ecd-a120-d1d8c8d1d1e9 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a ? | s1 | 11 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbaba | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a ? |
f6f61f04-f1be-48d6-85a1-382d9cf34217 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c ? | s6 | 14 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbabaddc | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'd', s4)
(s4, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b a d d c ? |
1db02e91-e8ca-4bb1-984a-8693198e7535 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a ? | s8 | 9 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadba | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a ? |
67e14d4b-0e70-43f6-b20b-b4fc66e7b783 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b ? | s5 | 10 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadbab | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
(s1, 'a', s8)
(s8, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b a b ? |
c6fed216-b5ac-4695-9671-b367e40424e7 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b ? | s5 | 2 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | ab | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b ? |
e44f55dd-5318-4b20-b9f2-4def2bb433e7 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c ? | s1 | 3 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abc | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c ? |
b03b72bf-f4cc-475c-b01c-244667bde6dd | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c ? | s1 | 4 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abcc | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c ? |
4f203ae4-e3dd-4212-918a-f34e5316874e | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a ? | s8 | 1 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | a | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a ? |
f10ae0ec-71c1-4fa5-bc02-f12d51f00892 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a ? | s1 | 6 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccba | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a ? |
46fe2963-f5eb-4609-9e77-a734a850ca40 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d ? | s7 | 7 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbad | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d ? |
121130a2-efc3-44a9-942b-d9a1039a4b3e | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b ? | s1 | 8 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccbadb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
(s5, 'a', s1)
(s1, 'd', s7)
(s7, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b a d b ? |
72d264b3-b894-461e-be6a-b90e2812a740 | c34e95ce-f65f-4629-8a4f-f041e95519de | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s1", "s0", "s8", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s8","s1":"s8","s2":"s0","s3":"s5","s4":"s6","s5":"s1","s6":"s0","s7":"s1","s8":"s7"},"b":{"s0":"s5","s1":"s5","s2":"s7","s3":"s8","s4":"s2","s5":"s8","s6":"s4","s7":"s1","s8":"s5"},"c":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s8","s7":"s4","s8":"s1"},"d":{"s0":"s4","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s1","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b ? | s5 | 5 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | abccb | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s1)
(s1, 'c', s1)
(s1, 'b', s5)
Final state: s5 | Given the following FSM:
a b c d
s0 s8 s5 s1 s4
s1 s8 s5 s1 s7
s2 s0 s7 s8 s3
s3 s5 s8 s6 s2
s4 s6 s2 s6 s6
s5 s1 s8 s1 s5
s6 s0 s4 s8 s1
s7 s1 s1 s4 s4
s8 s7 s5 s1 s3
With the initial state: s0, and accepting states: ['s7', 's4', 's1', 's0', 's8', 's5', 's2', 's6'],
What will be the state after reading the following input: a b c c b ? |
f06822e7-bf03-4c38-8036-765f9fc05658 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a ? | s2 | 9 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbba | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a ? |
73e7c20a-8588-4c57-be03-b9dd1c227010 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d ? | s2 | 2 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | ad | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d ? |
a18e5952-fd69-4f56-838d-a5aaa9f4ffea | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d ? | s3 | 3 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | add | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d ? |
2a10b7ae-90b2-4c7c-a761-693e863a0e67 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b ? | s1 | 4 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b ? |
4f8c6710-33b4-4278-b804-dec7923fe38d | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b ? | s3 | 5 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbb | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b ? |
917beac8-9bad-408e-ab22-467342e0c671 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c ? | s1 | 6 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbc | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c ? |
9ca45ed1-0bdb-480d-95c5-5982f928190e | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b ? | s3 | 7 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcb | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b ? |
be451d09-6da0-4cd1-ae41-f4d6d7dd781c | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b ? | s1 | 8 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b ? |
a495e829-5659-4b4e-bd87-d6d5f6b6eabb | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d ? | s3 | 10 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbad | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d ? |
51035b59-d1d0-46c7-b963-38f56118fee2 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d c b d ? | s8 | 20 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbddbddcbd | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
(s2, 'b', s0)
(s0, 'd', s2)
(s2, 'd', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d c b d ? |
21b51ff7-b50c-4530-a53b-b1ce54b70556 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b ? | s3 | 12 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbb | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b ? |
79d7cc8a-84c0-4872-b9b5-b86012e41d05 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d ? | s8 | 13 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbd | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d ? |
1d6bed51-5634-4272-ae62-fe7ef3ab8e14 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d ? | s2 | 14 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbdd | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d ? |
602f2ed8-7d39-4414-bef5-482acb48cc15 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b ? | s0 | 15 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbddb | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
(s2, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b ? |
23013914-02d2-442d-a349-4b96d57ca438 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d ? | s2 | 16 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbddbd | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
(s2, 'b', s0)
(s0, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d ? |
308514e7-3113-4d59-84bb-f797b8bdacba | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d ? | s3 | 17 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbddbdd | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
(s2, 'b', s0)
(s0, 'd', s2)
(s2, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d ? |
1d3243bf-cbad-407f-bb28-24ca68141f1b | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d c ? | s1 | 18 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbddbddc | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
(s2, 'b', s0)
(s0, 'd', s2)
(s2, 'd', s3)
(s3, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d c ? |
ced14ab4-1845-4b11-877c-e2ad48ebb664 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d c b ? | s3 | 19 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadbbddbddcb | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'd', s8)
(s8, 'd', s2)
(s2, 'b', s0)
(s0, 'd', s2)
(s2, 'd', s3)
(s3, 'c', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b b d d b d d c b ? |
6ed5d24f-5bc4-4219-82d1-a48c257ed090 | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b ? | s1 | 11 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | addbbcbbadb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
(s4, 'd', s2)
(s2, 'd', s3)
(s3, 'b', s1)
(s1, 'b', s3)
(s3, 'c', s1)
(s1, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a d d b b c b b a d b ? |
61c64d3a-8fd9-41b2-8408-0a7873d58def | d08d63be-65db-4607-a522-a1653db9c21c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s8", "s7", "s1", "s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s8","s5":"s4","s6":"s7","s7":"s7","s8":"s3"},"b":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s4","s7":"s0","s8":"s7"},"c":{"s0":"s8","s1":"s2","s2":"s5","s3":"s1","s4":"s6","s5":"s5","s6":"s5","s7":"s7","s8":"s0"},"d":{"s0":"s2","s1":"s1","s2":"s3","s3":"s8","s4":"s2","s5":"s0","s6":"s1","s7":"s6","s8":"s2"}} | Given the following FSM:
a b c d
s0 s7 s8 s6 s7
s1 s6 s8 s2 s0
s2 s3 s6 s6 s8
s3 s7 s3 s5 s3
s4 s8 s1 s6 s8
s5 s6 s2 s8 s3
s6 s3 s4 s2 s3
s7 s7 s1 s5 s8
s8 s7 s1 s2 s7
With the initial state: s0, and accepting states: ['s3', 's5', 's4', 's0', 's7'],
What will be the state after reading the following input: b a b c a b c a d b b c b b a a a a d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s8)
(s8, 'a', s7)
(s7, 'b', s1)
(s1, 'c', s2)
(s2, 'a', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'a', s6)
(s6, 'd', s3)
(s3, 'b', s3)
(s3, 'b', s3)
(s3, 'c', s5)
(s5, 'b', s2)
(s2, 'b', s6)
(s6, 'a', s3)
(s3, 'a', s7)
(s7, 'a', s7)
(s7, 'a', s7)
(s7, 'd', s8)
Final state: s8
Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a ? | s4 | 1 | 9 | 4 | 9_4 | 957c0a6b-d02f-4e94-94c5-8cc1e523b4c9 | 1ec1756e-2a5c-4711-9b82-f25698a7a24e | a | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d
s0 s4 s8 s8 s2
s1 s2 s3 s2 s1
s2 s6 s0 s5 s3
s3 s2 s1 s1 s8
s4 s8 s4 s6 s2
s5 s4 s5 s5 s0
s6 s7 s4 s5 s1
s7 s7 s0 s7 s6
s8 s3 s7 s0 s2
With the initial state: s0, and accepting states: ['s8', 's7', 's1', 's5', 's3', 's2', 's0'],
What will be the state after reading the following input: a ? |
4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ? | s0 | 20 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaecbdacdc | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ? |
580fe9fa-7068-4f69-9904-917ee36f21b5 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e ? | s8 | 1 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | e | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e ? |
494e5fb0-7be6-4b9e-805f-05521c0366cf | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c ? | s0 | 2 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ec | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c ? |
15827296-c4a2-4a4e-8531-fb436d4c0a42 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a ? | s4 | 3 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | eca | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a ? |
d8e84400-9023-480f-8147-e791119cff7b | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a ? | s2 | 4 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaa | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a ? |
e84f56bc-624b-4beb-841e-6ce2f2d55736 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c ? | s3 | 5 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaac | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c ? |
bda8a4b4-211d-4cfa-a058-9f009b1d0369 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a ? | s0 | 6 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaaca | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a ? |
e4b9440f-1c32-4e56-87af-b39146db0470 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b ? | s7 | 7 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacab | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b ? |
e90b90c8-e8fa-4d6f-824b-dd3146fcd0c6 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d ? | s7 | 8 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabd | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d ? |
c32199d6-cec4-473c-9016-645b771df530 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d ? | s7 | 9 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdd | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d ? |
dc47d12f-97ba-4418-982f-e80f5b41ecdd | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d ? | s0 | 19 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaecbdacd | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d ? |
c6afa6e5-ed54-4679-9d4a-df14ac753889 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c ? | s4 | 11 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddc | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c ? |
d0136f4f-1c12-4928-849f-4d44d6096549 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a ? | s2 | 12 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddca | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a ? |
c5006e6a-de64-4802-8fce-36323e885abf | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e ? | s4 | 13 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcae | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e ? |
1fc87c0c-be3c-47f4-92fa-4f8618e8e698 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c ? | s6 | 14 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaec | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c ? |
7b8bdab8-398b-4ebb-b20b-131fb46d6c4a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b ? | s0 | 15 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaecb | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b ? |
1b9ee33b-a381-4527-a8c7-23b01d0fb492 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d ? | s0 | 16 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaecbd | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d ? |
badc9069-2afd-4f1a-ae60-14dfdd5b110a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a ? | s4 | 17 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaecbda | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a ? |
b713cf53-32c6-49ec-92f2-1d0fa9d4d347 | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c ? | s6 | 18 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabdddcaecbdac | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c ? |
17073ad7-588c-4727-a2ca-2db8018c225f | 396e5d0e-0140-4d8f-8252-4cc911c82720 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s2", "s0", "s3", "s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s8","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s8","s7":"s6","s8":"s3"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s8","s6":"s0","s7":"s4","s8":"s4"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s7","s6":"s4","s7":"s4","s8":"s0"},"d":{"s0":"s0","s1":"s8","s2":"s2","s3":"s4","s4":"s1","s5":"s5","s6":"s0","s7":"s7","s8":"s5"},"e":{"s0":"s8","s1":"s2","s2":"s4","s3":"s3","s4":"s4","s5":"s7","s6":"s6","s7":"s3","s8":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d ? | s7 | 10 | 9 | 5 | 9_5 | d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | ecaacabddd | s7 | Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d ? |
d3fe91b6-4ec5-472d-9c7b-a3bb38a9d595 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ? | s0 | 8 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadece | s0 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e ? |
f7a1099f-d143-4f36-b0ef-7238fac692f7 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c ? | s3 | 7 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadec | s3 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c ? |
d7fa8c17-b045-468c-aa94-d984af3b72c7 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e ? | s1 | 6 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbade | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e ? |
13ac1d56-781c-413b-9e1f-6e82fe9ad62f | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c ? | s2 | 2 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ec | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c ? |
260477db-0b21-4f9a-aaa1-7af93de19f3d | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a ? | s8 | 4 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecba | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a ? |
37e3e98f-dc43-4113-9d85-921165b9cf1b | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b ? | s1 | 3 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecb | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b ? |
247919cc-de45-4e5b-a65e-1d184b06402a | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b ? | s2 | 9 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadeceb | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b ? |
427c2e68-86ed-4dbb-b15b-29a0fbe64509 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d ? | s4 | 5 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbad | s4 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
Final state: s4 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d ? |
e095c0e1-e9b3-4cac-ab25-f685d07445b2 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e ? | s2 | 10 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebe | s2 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
Final state: s2 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e ? |
ad39031f-eaa0-43c3-8b06-edb306f1652c | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d ? | s1 | 14 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededd | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d ? |
e8b9680b-a0a2-4dbd-be77-08d94e9f2526 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e ? | s1 | 12 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebede | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e ? |
25c79107-8b24-4f11-bbb1-8771726a5278 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d ? | s1 | 13 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebeded | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d ? |
1927de7b-1d86-4d85-bcea-a4632627ffa1 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a ? | s8 | 15 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededda | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a ? |
86e9d58d-ef42-4df8-8864-bfc80d3a960f | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e ? | s6 | 16 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededdae | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'a', s8)
(s8, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e ? |
b938a60f-7e1e-42a2-abad-3cfd783c85b2 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e ? | s1 | 17 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededdaee | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'a', s8)
(s8, 'e', s6)
(s6, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e ? |
7cc3e908-f628-4a79-9f11-d99791ce1547 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e a ? | s8 | 18 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededdaeea | s8 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'a', s8)
(s8, 'e', s6)
(s6, 'e', s1)
(s1, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e a ? |
48b874d4-82ad-4f46-97b9-f849ba2f95bd | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e a a ? | s6 | 19 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededdaeeaa | s6 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'a', s8)
(s8, 'e', s6)
(s6, 'e', s1)
(s1, 'a', s8)
(s8, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e a a ? |
5b800c33-d02e-42f8-8581-65d1d892b93e | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e ? | s5 | 1 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | e | s5 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e ? |
30dd9d62-ea40-4fa9-bccd-5b58bc94584e | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d ? | s1 | 11 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebed | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d ? |
8427302d-f2fd-4424-b581-66bb6fc154e4 | 5bba78a9-cb7e-4429-b8c9-41a6e21ed2cc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s3", "s8", "s0", "s1", "s7", "s4", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s8","s2":"s6","s3":"s2","s4":"s7","s5":"s0","s6":"s8","s7":"s7","s8":"s6"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s5","s6":"s3","s7":"s4","s8":"s7"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s6","s4":"s5","s5":"s2","s6":"s1","s7":"s2","s8":"s7"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s8","s4":"s4","s5":"s7","s6":"s5","s7":"s7","s8":"s4"},"e":{"s0":"s5","s1":"s1","s2":"s2","s3":"s0","s4":"s1","s5":"s8","s6":"s1","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s4 s7 s0 s0 s8
s1 s8 s5 s3 s8 s2
s2 s7 s4 s3 s2 s4
s3 s0 s6 s5 s4 s3
s4 s2 s7 s6 s1 s4
s5 s5 s8 s7 s5 s7
s6 s8 s0 s4 s0 s6
s7 s6 s4 s4 s7 s3
s8 s3 s4 s0 s5 s7
With the initial state: s0, and accepting states: ['s2', 's0', 's3', 's1', 's5', 's4'],
What will be the state after reading the following input: e c a a c a b d d d c a e c b d a c d c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'e', s8)
(s8, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s2)
(s2, 'c', s3)
(s3, 'a', s0)
(s0, 'b', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'd', s7)
(s7, 'c', s4)
(s4, 'a', s2)
(s2, 'e', s4)
(s4, 'c', s6)
(s6, 'b', s0)
(s0, 'd', s0)
(s0, 'a', s4)
(s4, 'c', s6)
(s6, 'd', s0)
(s0, 'c', s0)
Final state: s0
Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e a a c ? | s1 | 20 | 9 | 5 | 9_5 | 4b3977ba-0b42-4ed6-a4d8-e642a6b7fd6a | 396e5d0e-0140-4d8f-8252-4cc911c82720 | ecbadecebededdaeeaac | s1 | Transitions (current_state, input, next_state):
(s0, 'e', s5)
(s5, 'c', s2)
(s2, 'b', s1)
(s1, 'a', s8)
(s8, 'd', s4)
(s4, 'e', s1)
(s1, 'c', s3)
(s3, 'e', s0)
(s0, 'b', s2)
(s2, 'e', s2)
(s2, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s1)
(s1, 'd', s1)
(s1, 'a', s8)
(s8, 'e', s6)
(s6, 'e', s1)
(s1, 'a', s8)
(s8, 'a', s6)
(s6, 'c', s1)
Final state: s1 | Given the following FSM:
a b c d e
s0 s1 s2 s3 s5 s5
s1 s8 s1 s3 s1 s1
s2 s6 s1 s4 s1 s2
s3 s2 s3 s6 s8 s0
s4 s7 s2 s5 s4 s1
s5 s0 s5 s2 s7 s8
s6 s8 s3 s1 s5 s1
s7 s7 s4 s2 s7 s1
s8 s6 s7 s7 s4 s6
With the initial state: s0, and accepting states: ['s3', 's8', 's0', 's1', 's7', 's4', 's5', 's2'],
What will be the state after reading the following input: e c b a d e c e b e d e d d a e e a a c ? |