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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6e6adde3-3291-4333-9432-df2041345805 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a ? | s1 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | a | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a ? |
61845949-c4b3-4545-8863-46cc278c8be1 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a ? | s1 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdca | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a ? |
cfe5e32a-7649-448e-afd6-de9871e9d8b6 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b ? | s2 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | ab | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b ? |
4d3e8d3b-a6a5-4d96-9690-755b2f0e09e9 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d ? | s0 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abd | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d ? |
80bd5b81-7cd7-4024-8f7b-e67baf916009 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b ? | s3 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdb | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b ? |
bc191b2d-d8db-45b4-9eff-e3cd9085a40e | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c ? | s7 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbc | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c ? |
ab68e069-bf29-43d2-8caa-527e18d15620 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d ? | s7 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcd | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d ? |
8cb6347d-6590-4e1a-9ea5-b8fa01cd5657 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c ? | s8 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdc | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c ? |
e3a2bed0-3ffc-4084-baf6-56641ebd6ccf | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f ? | s5 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcaf | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f ? |
eab19a30-f115-46cb-9f27-af3d2d9f3545 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a ? | s2 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfea | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a ? |
8362c288-4a32-451c-a3f4-4f8be08e4f98 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f ? | s0 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdf | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f ? |
c0818631-13ca-4c37-a5ac-16974c451e0c | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e ? | s2 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfe | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e ? |
309c30f3-c7cb-4864-af21-25c28e2f1d55 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b ? | s4 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeab | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b ? |
ef515847-9a11-4570-9f87-699442249779 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b ? | s8 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeabb | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
(s4, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b ? |
c66b7645-a4aa-4f2b-a80a-ad722dcbb459 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a ? | s1 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeabba | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
(s4, 'b', s8)
(s8, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a ? |
081cccf5-b0b9-44af-9484-b5c21f477d22 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c ? | s8 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeabbac | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
(s4, 'b', s8)
(s8, 'a', s1)
(s1, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c ? |
873e6774-70ee-48f6-841b-16aca6bfd1f3 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c d ? | s3 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeabbacd | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
(s4, 'b', s8)
(s8, 'a', s1)
(s1, 'c', s8)
(s8, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c d ? |
0a1cdbd7-5c2b-4c83-bea7-c6175aae94c3 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c d a b ? | s2 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeabbacdab | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
(s4, 'b', s8)
(s8, 'a', s1)
(s1, 'c', s8)
(s8, 'd', s3)
(s3, 'a', s7)
(s7, 'b', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c d a b ? |
49fd69d6-2505-4c36-954e-87a55bc9623f | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d ? | s2 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafd | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d ? |
4ec9f24a-c4f3-4691-813c-6753df4bed34 | 80e6f2de-d1b1-48fe-a87b-db996f11e043 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s6", "s4", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s6","s6":"s6","s7":"s2","s8":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s4","s6":"s8","s7":"s2","s8":"s5"},"c":{"s0":"s8","s1":"s8","s2":"s4","s3":"s7","s4":"s7","s5":"s7","s6":"s7","s7":"s8","s8":"s3"},"d":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s2","s6":"s8","s7":"s7","s8":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s5","s3":"s7","s4":"s5","s5":"s6","s6":"s5","s7":"s3","s8":"s1"},"f":{"s0":"s3","s1":"s5","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s1","s7":"s5","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c d a ? | s7 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | abdbcdcafdfeabbacda | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s2)
(s2, 'd', s0)
(s0, 'b', s3)
(s3, 'c', s7)
(s7, 'd', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'f', s5)
(s5, 'd', s2)
(s2, 'f', s0)
(s0, 'e', s2)
(s2, 'a', s2)
(s2, 'b', s4)
(s4, 'b', s8)
(s8, 'a', s1)
(s1, 'c', s8)
(s8, 'd', s3)
(s3, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s1 s3 s8 s5 s2 s3
s1 s8 s2 s8 s4 s3 s5
s2 s2 s4 s4 s0 s5 s0
s3 s7 s2 s7 s8 s7 s7
s4 s6 s8 s7 s5 s5 s6
s5 s6 s4 s7 s2 s6 s5
s6 s6 s8 s7 s8 s5 s1
s7 s2 s2 s8 s7 s3 s5
s8 s1 s5 s3 s3 s1 s1
With the initial state: s0, and accepting states: ['s5', 's7', 's6', 's4', 's3', 's2', 's0'],
What will be the state after reading the following input: a b d b c d c a f d f e a b b a c d a ? |
a5fef8db-87fd-47e0-98f1-c63c027ebef1 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a d f f ? | s6 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacfdcadff | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
(s6, 'd', s8)
(s8, 'c', s2)
(s2, 'a', s0)
(s0, 'd', s6)
(s6, 'f', s2)
(s2, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a d f f ? |
f0de297b-ecdf-4f75-9fda-fe4857dec572 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a d f ? | s2 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacfdcadf | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
(s6, 'd', s8)
(s8, 'c', s2)
(s2, 'a', s0)
(s0, 'd', s6)
(s6, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a d f ? |
c126112e-4a87-41ca-b223-5ba56027cf83 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a ? | s8 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | a | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a ? |
2e7089a2-5d53-4d01-9c62-2dfa9441c229 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a ? | s5 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aa | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a ? |
015414c5-52ac-43e5-a109-f4092d4d6576 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b ? | s8 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aab | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b ? |
c33c3be8-3168-41e7-be7a-8764fc396e67 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e ? | s5 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabe | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e ? |
406e53ca-87cd-417d-9186-e3331c83a4d2 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e ? | s6 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabee | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e ? |
63d5d31e-4932-4be3-85ef-422bb7e2be62 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e ? | s4 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeee | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e ? |
2571115d-b0ec-454a-9c14-23d3ce958989 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e ? | s0 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeee | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e ? |
742ad06f-0354-4d40-ac5a-df88e244b03f | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e ? | s8 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeee | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e ? |
7904a209-eed2-4cfa-ba8c-18e2e99bf01f | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e ? | s2 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeee | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e ? |
d6e3596b-8008-4e92-8636-22d89d836002 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b ? | s8 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedb | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b ? |
4a9bc8c0-8558-4546-9adb-cfe5a78f668f | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d ? | s8 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeed | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d ? |
1175bb8b-2e6b-4164-9a6d-265810595781 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a ? | s0 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacfdca | s0 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
(s6, 'd', s8)
(s8, 'c', s2)
(s2, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a ? |
2a518c31-affa-4f5e-be07-9faf4ac0ae39 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c ? | s2 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacfdc | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
(s6, 'd', s8)
(s8, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c ? |
d6d12d33-67a5-4a38-baf3-406f6b04e2b7 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d ? | s8 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacfd | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
(s6, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d ? |
07f79bd1-8056-44b5-925e-750ce7f06afc | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a d ? | s6 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacfdcad | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
(s6, 'd', s8)
(s8, 'c', s2)
(s2, 'a', s0)
(s0, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f d c a d ? |
84670bbd-a8f0-41f6-8d6a-809478fa203b | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c ? | s2 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbac | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c ? |
3500164f-feb1-433d-9b0e-888344be43c5 | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a ? | s5 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedba | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a ? |
353c5151-ba29-40be-b9ee-130d916f395d | 83d4ed71-baa5-4018-8ee9-a6c756494f54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s5", "s1", "s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s2","s6":"s7","s7":"s5","s8":"s5"},"b":{"s0":"s2","s1":"s3","s2":"s2","s3":"s5","s4":"s7","s5":"s8","s6":"s2","s7":"s8","s8":"s8"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s8","s8":"s2"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s6","s4":"s0","s5":"s7","s6":"s8","s7":"s6","s8":"s8"},"e":{"s0":"s8","s1":"s8","s2":"s4","s3":"s1","s4":"s0","s5":"s6","s6":"s2","s7":"s1","s8":"s5"},"f":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s1","s5":"s4","s6":"s2","s7":"s1","s8":"s1"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f ? | s6 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aabeeeeeedbacf | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s8)
(s8, 'a', s5)
(s5, 'b', s8)
(s8, 'e', s5)
(s5, 'e', s6)
(s6, 'e', s2)
(s2, 'e', s4)
(s4, 'e', s0)
(s0, 'e', s8)
(s8, 'd', s8)
(s8, 'b', s8)
(s8, 'a', s5)
(s5, 'c', s2)
(s2, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s8 s2 s0 s6 s8 s3
s1 s6 s3 s1 s7 s8 s6
s2 s0 s2 s5 s4 s4 s6
s3 s1 s5 s1 s6 s1 s7
s4 s2 s7 s0 s0 s0 s1
s5 s2 s8 s2 s7 s6 s4
s6 s7 s2 s7 s8 s2 s2
s7 s5 s8 s8 s6 s1 s1
s8 s5 s8 s2 s8 s5 s1
With the initial state: s0, and accepting states: ['s4', 's2', 's5', 's1', 's0', 's8'],
What will be the state after reading the following input: a a b e e e e e e d b a c f ? |
e9460afb-13fa-41f2-9962-0d07675c7657 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d ? | s8 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccd | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d ? |
7f7b227a-c233-4d4a-ade0-30f1f10b6efc | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a ? | s5 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | a | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a ? |
f8f3d478-8bc7-4d84-bf98-a9745f94edae | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a ? | s3 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aa | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a ? |
a886e552-ac13-4260-81d9-9756fef3bfae | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d ? | s6 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aad | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d ? |
84ed23b2-deac-4463-b42e-df9fc03126cf | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e ? | s4 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aade | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e ? |
cba13e4d-9094-4159-b05c-41e2a1c9d8be | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b ? | s4 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadeb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b ? |
0b521464-6524-489a-8900-fdc14cc2a492 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c ? | s4 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebc | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c ? |
8db3a572-fb95-4ac1-8a34-59aa5fc8f3db | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c ? | s4 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebcc | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c ? |
2e72c0ac-129e-44ea-892b-22c2a9b3275e | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a ? | s3 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccda | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a ? |
8b4378e6-b8ac-4585-8015-8ed959135f33 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b ? | s1 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdab | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b ? |
fadca9c2-bb4c-4130-a006-1134e9bc3d23 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b b a d ? | s6 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdebccbbad | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
(s1, 'c', s6)
(s6, 'c', s5)
(s5, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
(s2, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b b a d ? |
26593896-5697-4e42-9e68-fb5af9312d1d | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d ? | s1 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfd | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d ? |
e7634adb-8abd-424d-84f4-e6d042a02e93 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e ? | s7 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfde | s7 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e ? |
9b81d266-4eb1-42dc-ac4b-084007a137bd | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b ? | s1 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdeb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b ? |
4c37be3e-99c0-4698-ac7d-fa39171ee963 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c ? | s6 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdebc | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
(s1, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c ? |
3db27052-a2ec-49d7-ab15-5fbd1abc2765 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c ? | s5 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdebcc | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
(s1, 'c', s6)
(s6, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c ? |
2eef2f2a-c449-4279-85b9-05654c3345c6 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b ? | s3 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdebccb | s3 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
(s1, 'c', s6)
(s6, 'c', s5)
(s5, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b ? |
4e46b51d-60eb-48d6-8747-5a7906091ec9 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b b ? | s1 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdebccbb | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
(s1, 'c', s6)
(s6, 'c', s5)
(s5, 'b', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b b ? |
c4c39f7d-609c-4514-ac21-f9efa8286c1e | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b b a ? | s2 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabfdebccbba | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
(s8, 'd', s1)
(s1, 'e', s7)
(s7, 'b', s1)
(s1, 'c', s6)
(s6, 'c', s5)
(s5, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f d e b c c b b a ? |
133da088-18a6-4daa-93fb-e8433158b154 | d5f76107-97f9-4b9c-9759-1e1f86024511 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s5", "s7", "s8", "s1", "s6", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s5","s1":"s2","s2":"s6","s3":"s1","s4":"s6","s5":"s3","s6":"s7","s7":"s5","s8":"s3"},"b":{"s0":"s2","s1":"s1","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s1","s7":"s1","s8":"s1"},"c":{"s0":"s8","s1":"s6","s2":"s0","s3":"s8","s4":"s4","s5":"s2","s6":"s5","s7":"s8","s8":"s5"},"d":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s8","s8":"s1"},"e":{"s0":"s0","s1":"s7","s2":"s0","s3":"s4","s4":"s4","s5":"s8","s6":"s4","s7":"s2","s8":"s6"},"f":{"s0":"s6","s1":"s8","s2":"s3","s3":"s2","s4":"s1","s5":"s1","s6":"s4","s7":"s0","s8":"s4"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f ? | s8 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | aadebccdabf | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'a', s3)
(s3, 'd', s6)
(s6, 'e', s4)
(s4, 'b', s4)
(s4, 'c', s4)
(s4, 'c', s4)
(s4, 'd', s8)
(s8, 'a', s3)
(s3, 'b', s1)
(s1, 'f', s8)
Final state: s8 | Given the following FSM:
a b c d e f
s0 s5 s2 s8 s3 s0 s6
s1 s2 s1 s6 s6 s7 s8
s2 s6 s4 s0 s6 s0 s3
s3 s1 s1 s8 s6 s4 s2
s4 s6 s4 s4 s8 s4 s1
s5 s3 s3 s2 s4 s8 s1
s6 s7 s1 s5 s5 s4 s4
s7 s5 s1 s8 s8 s2 s0
s8 s3 s1 s5 s1 s6 s4
With the initial state: s0, and accepting states: ['s5', 's7', 's8', 's1', 's6', 's4', 's0', 's2'],
What will be the state after reading the following input: a a d e b c c d a b f ? |
d949c866-df28-484f-b296-bccb9a93647d | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c ? | s4 | 13 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffc | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c ? |
f8d7b095-1c82-42f5-9dd8-36f7bce1eff8 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e ? | s5 | 14 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffce | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e ? |
7debe34d-4b59-4868-9bdd-c5e85c91b04a | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c ? | s4 | 15 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffcec | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c ? |
e0188d3f-ca0e-4382-94ff-937dab417c82 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c e d ? | s2 | 19 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffcececed | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c e d ? |
0e2464bd-6a08-4566-9ee4-e2ceb7597c7b | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c ? | s4 | 17 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffcecec | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c ? |
a23a412a-c1e8-49fb-9d4d-8ce6dafb4fcc | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c e ? | s5 | 18 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffcecece | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c e ? |
b9c80e88-7fab-4999-ad97-de9e01233c07 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f ? | s5 | 12 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeff | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f ? |
0480d166-cb15-4159-bdca-9c3c627cff82 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e ? | s5 | 16 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffcece | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e ? |
32c6da2f-913b-4b7c-b9e0-c40bac580004 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f ? | s7 | 11 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaef | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f ? |
dcda1275-3d28-4cc9-a6d3-87bf87a0343f | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b ? | s3 | 5 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | beceb | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b ? |
28353387-fa00-4f7d-b692-64f373331f58 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a ? | s0 | 9 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecda | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a ? |
8e3c9c04-294b-473a-8ccd-e7e2e3273ca9 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d ? | s3 | 8 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecd | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d ? |
c16a95e2-8895-4f25-9e93-d427dcf8c2cd | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c ? | s2 | 7 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebec | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c ? |
86386e9c-eee2-411f-ab8f-09eb2815d124 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e ? | s0 | 6 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebe | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e ? |
67d53ae7-96f9-4d63-be3a-60d645daea64 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e ? | s1 | 4 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bece | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e ? |
714c91b2-5c52-4c47-a1c7-e38958e987dd | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c ? | s2 | 3 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | bec | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c ? |
2cd1fe71-2ba1-4b6e-a67b-fc07d45a7fb2 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e ? | s0 | 2 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | be | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e ? |
4ea0c753-bced-4a41-ad35-87b021dadfa4 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b ? | s7 | 1 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | b | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b ? |
c7349fbc-469a-4bc1-91fc-833a4b58290d | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e ? | s6 | 10 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdae | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e ? |
de67001d-01e0-402a-9fb2-0813acef4612 | e312de7a-1a55-413c-bb84-082539fbd9c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s4", "s2", "s6", "s8", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s4","s3":"s0","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s1"},"b":{"s0":"s7","s1":"s3","s2":"s4","s3":"s6","s4":"s6","s5":"s1","s6":"s7","s7":"s5","s8":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s5","s4":"s1","s5":"s4","s6":"s2","s7":"s7","s8":"s2"},"d":{"s0":"s8","s1":"s8","s2":"s3","s3":"s8","s4":"s1","s5":"s2","s6":"s7","s7":"s2","s8":"s6"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s0","s4":"s5","s5":"s5","s6":"s2","s7":"s0","s8":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s6","s6":"s7","s7":"s5","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s6 s0 s5 s5 s0 s7
s1 s6 s2 s4 s6 s8 s8
s2 s6 s2 s0 s3 s1 s8
s3 s6 s1 s3 s4 s1 s5
s4 s4 s8 s0 s3 s5 s3
s5 s7 s2 s2 s3 s8 s1
s6 s8 s5 s7 s0 s7 s1
s7 s1 s0 s8 s0 s1 s1
s8 s1 s4 s5 s0 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's7', 's8', 's3', 's6', 's0', 's5', 's1'],
What will be the state after reading the following input: d a b b d e f e e d a c c a b a c f e d ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'd', s5)
(s5, 'a', s7)
(s7, 'b', s0)
(s0, 'b', s0)
(s0, 'd', s5)
(s5, 'e', s8)
(s8, 'f', s7)
(s7, 'e', s1)
(s1, 'e', s8)
(s8, 'd', s0)
(s0, 'a', s6)
(s6, 'c', s7)
(s7, 'c', s8)
(s8, 'a', s1)
(s1, 'b', s2)
(s2, 'a', s6)
(s6, 'c', s7)
(s7, 'f', s1)
(s1, 'e', s8)
(s8, 'd', s0)
Final state: s0
Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c e d d ? | s3 | 20 | 9 | 6 | 9_6 | c9985a06-9ccd-447d-bb57-3a934c9275b3 | 254a5dec-0be8-491d-92bd-8def4c46d430 | becebecdaeffcececedd | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s7)
(s7, 'e', s0)
(s0, 'c', s2)
(s2, 'e', s1)
(s1, 'b', s3)
(s3, 'e', s0)
(s0, 'c', s2)
(s2, 'd', s3)
(s3, 'a', s0)
(s0, 'e', s6)
(s6, 'f', s7)
(s7, 'f', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'c', s4)
(s4, 'e', s5)
(s5, 'd', s2)
(s2, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f
s0 s4 s7 s2 s8 s6 s0
s1 s2 s3 s2 s8 s5 s5
s2 s4 s4 s1 s3 s1 s3
s3 s0 s6 s5 s8 s0 s7
s4 s1 s6 s1 s1 s5 s4
s5 s3 s1 s4 s2 s5 s6
s6 s5 s7 s2 s7 s2 s7
s7 s3 s5 s7 s2 s0 s5
s8 s1 s0 s2 s6 s5 s6
With the initial state: s0, and accepting states: ['s4', 's2', 's6', 's8', 's0', 's7'],
What will be the state after reading the following input: b e c e b e c d a e f f c e c e c e d d ? |
2beb5564-3bc3-4bec-922f-924c725e450f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ? | s2 | 1 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | c | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c ? |
d03b83a3-f597-48c9-a3b7-765fe4a50817 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d b d ? | s3 | 19 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegfgfdbd | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'd', s8)
(s8, 'b', s7)
(s7, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d b d ? |
9ecff8b3-a3ef-4daa-8a04-4ce5fee7bfee | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d b ? | s7 | 18 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegfgfdb | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'd', s8)
(s8, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d b ? |
33e72dce-e2d0-48d3-bc4b-1148b01b456a | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d ? | s8 | 17 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegfgfd | s8 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d ? |
7d7e2a2e-f191-4178-b0af-5be74eed33a9 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f ? | s2 | 16 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegfgf | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'g', s1)
(s1, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f ? |
2d94e99c-4deb-4650-bfe3-8946c208c3aa | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g ? | s1 | 15 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegfg | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'g', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g ? |
a859eb5d-d432-43ec-857f-b187dbdfc266 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f ? | s2 | 14 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegf | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f ? |
92051bad-3924-4c70-ae87-30a02192e072 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g ? | s1 | 13 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfeg | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g ? |
f9eae2ed-4cc6-4de2-8866-775343c851e9 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e ? | s2 | 12 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfe | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e ? |
89c3d9dc-a092-47a8-bfc5-a56172eb9427 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f ? | s2 | 11 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgf | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f ? |
073106cd-200a-4ec9-8711-b44987fd6909 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d b d a ? | s0 | 20 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdgfegfgfdbda | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'e', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'g', s1)
(s1, 'f', s2)
(s2, 'd', s8)
(s8, 'b', s7)
(s7, 'd', s3)
(s3, 'a', s0)
Final state: s0 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g f e g f g f d b d a ? |
55780125-6bf4-4f45-a549-99e55a7f8d6d | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d ? | s2 | 9 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffd | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d ? |
c6f0a952-e0fb-49e3-b025-247958ba046a | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f ? | s4 | 8 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffff | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f ? |
a6acbf27-bf5b-494e-8988-0dbf047b0f4b | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f ? | s7 | 7 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdafff | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f ? |
302d4241-7f5f-4503-9677-723f12845a1f | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f ? | s2 | 6 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaff | s2 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
Final state: s2 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f ? |
9c2dfe20-fbf2-47c1-9da7-ca0cd8377665 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f ? | s1 | 5 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaf | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f ? |
5bcbf6dc-18fb-4533-876e-e238ba3943cd | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a ? | s4 | 4 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccda | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a ? |
8bbf63f1-2e76-41a0-aca5-ca919125955c | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d ? | s6 | 3 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccd | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d ? |
e769c545-78d1-4fd0-bbd9-a7495a39430b | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c ? | s3 | 2 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | cc | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c ? |
cf8c16e3-07fa-46fc-9cd1-592ba5fc0c54 | 4753338d-b3ce-404d-8bfa-c8291478e2a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s7", "s8", "s5", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s8","s5":"s4","s6":"s4","s7":"s8","s8":"s8"},"b":{"s0":"s1","s1":"s5","s2":"s8","s3":"s4","s4":"s8","s5":"s1","s6":"s4","s7":"s3","s8":"s7"},"c":{"s0":"s2","s1":"s6","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s7","s8":"s5"},"d":{"s0":"s1","s1":"s1","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s6","s7":"s3","s8":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s2","s3":"s4","s4":"s0","s5":"s1","s6":"s8","s7":"s6","s8":"s5"},"f":{"s0":"s3","s1":"s2","s2":"s7","s3":"s5","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s4"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s5","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s6"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
With the initial state: s0, and accepting states: ['s8', 's3', 's4', 's6', 's7', 's0'],
What will be the state after reading the following input: a f d a a g b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s5)
(s5, 'f', s6)
(s6, 'd', s2)
(s2, 'a', s2)
(s2, 'a', s2)
(s2, 'g', s6)
(s6, 'b', s6)
Final state: s6
Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g ? | s1 | 10 | 9 | 7 | 9_7 | d48a2b61-2dbf-4895-ab51-66436c7bc7e7 | 51812a9b-d909-4b70-ba85-1aef66773d84 | ccdaffffdg | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s2)
(s2, 'c', s3)
(s3, 'd', s6)
(s6, 'a', s4)
(s4, 'f', s1)
(s1, 'f', s2)
(s2, 'f', s7)
(s7, 'f', s4)
(s4, 'd', s2)
(s2, 'g', s1)
Final state: s1 | Given the following FSM:
a b c d e f g
s0 s1 s1 s2 s1 s1 s3 s3
s1 s5 s5 s6 s1 s1 s2 s2
s2 s3 s8 s3 s8 s2 s7 s1
s3 s0 s4 s2 s6 s4 s5 s5
s4 s8 s8 s6 s2 s0 s1 s5
s5 s4 s1 s7 s0 s1 s3 s1
s6 s4 s4 s8 s6 s8 s4 s6
s7 s8 s3 s7 s3 s6 s4 s6
s8 s8 s7 s5 s1 s5 s4 s6
With the initial state: s0, and accepting states: ['s0', 's3', 's7', 's8', 's5', 's6'],
What will be the state after reading the following input: c c d a f f f f d g ? |