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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ffa9ed2c-fd05-4b00-be01-b409ee194aad | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e ? | s1 | 8 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgede | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e ? |
98b7cb56-aae1-4961-9f0c-4e49dad0043b | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d ? | s1 | 7 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahged | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d ? |
4c8f5c77-84f7-4d66-874d-7c91a9f2345d | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e ? | s5 | 6 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahge | s5 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e ? |
ea693c2c-63b2-4ac1-8d9e-8de452fd249c | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g ? | s2 | 2 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hg | s2 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g ? |
2b06959b-b7c8-421e-b945-bd1bde25d93f | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h ? | s6 | 4 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgah | s6 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h ? |
c2ec5f71-e0dc-4cf0-8ce4-c756e8dd3ee4 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a ? | s1 | 3 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hga | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a ? |
d3f68639-1cf9-4069-ba7f-1002ba75c1a3 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d ? | s2 | 9 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgeded | s2 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d ? |
d475b4c9-baf8-4666-9c1a-b9814de78a8b | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g ? | s2 | 5 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahg | s2 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g ? |
f5b2d300-9c7a-4136-8fb3-dcce174a615b | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h ? | s1 | 10 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededh | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h ? |
c9a991e3-c8e2-49a4-af41-d4f4d87dcd1e | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a h a ? | s4 | 19 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhahfaaha | s4 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
(s1, 'f', s4)
(s4, 'a', s3)
(s3, 'a', s2)
(s2, 'h', s1)
(s1, 'a', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a h a ? |
2725a718-670a-4047-b55d-951c44d3e4c5 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h ? | s0 | 12 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfh | s0 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
Final state: s0 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h ? |
5dd08bc5-f527-4203-983d-be4e2b9db8da | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a ? | s3 | 13 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfha | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a ? |
fd819918-6439-4ff5-99de-b2138fb9a4df | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h ? | s1 | 14 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhah | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h ? |
6b4021ba-394a-4fbf-89d0-d8a13290f64c | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f ? | s4 | 15 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhahf | s4 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
(s1, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f ? |
0c12f3c4-681f-46ee-9881-69bf38675e37 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a ? | s3 | 16 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhahfa | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
(s1, 'f', s4)
(s4, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a ? |
52519b6b-8037-40c7-812b-4d1687ccf831 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a ? | s2 | 17 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhahfaa | s2 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
(s1, 'f', s4)
(s4, 'a', s3)
(s3, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a ? |
ace866ba-931e-4fc0-94eb-0d31513494af | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a h ? | s1 | 18 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhahfaah | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
(s1, 'f', s4)
(s4, 'a', s3)
(s3, 'a', s2)
(s2, 'h', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a h ? |
9ee1759e-7b07-47f3-b1f4-5ae747b79b89 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h ? | s6 | 1 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | h | s6 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h ? |
1619c3cc-2133-4765-89db-5967bfe15cfc | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f ? | s4 | 11 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhf | s4 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f ? |
88b93c5b-0d07-4e62-9ade-7b84d8b20934 | 701839a8-290b-41db-b80a-384ab25bbcc2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s5", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s3","s7":"s0","s8":"s0"},"b":{"s0":"s4","s1":"s8","s2":"s5","s3":"s8","s4":"s7","s5":"s0","s6":"s8","s7":"s4","s8":"s3"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s2","s6":"s6","s7":"s3","s8":"s6"},"d":{"s0":"s7","s1":"s2","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s8","s7":"s0","s8":"s0"},"e":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s6","s5":"s2","s6":"s1","s7":"s7","s8":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s2","s5":"s8","s6":"s4","s7":"s2","s8":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s4","s3":"s2","s4":"s3","s5":"s3","s6":"s2","s7":"s4","s8":"s1"},"h":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s2","s6":"s7","s7":"s0","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a h a g ? | s3 | 20 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hgahgededhfhahfaahag | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'g', s2)
(s2, 'a', s1)
(s1, 'h', s6)
(s6, 'g', s2)
(s2, 'e', s5)
(s5, 'd', s1)
(s1, 'e', s1)
(s1, 'd', s2)
(s2, 'h', s1)
(s1, 'f', s4)
(s4, 'h', s0)
(s0, 'a', s3)
(s3, 'h', s1)
(s1, 'f', s4)
(s4, 'a', s3)
(s3, 'a', s2)
(s2, 'h', s1)
(s1, 'a', s4)
(s4, 'g', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s3 s4 s5 s7 s4 s3 s4 s6
s1 s4 s8 s5 s2 s1 s4 s2 s6
s2 s1 s5 s2 s7 s5 s0 s4 s1
s3 s2 s8 s1 s5 s0 s0 s2 s1
s4 s3 s7 s3 s4 s6 s2 s3 s0
s5 s2 s0 s2 s1 s2 s8 s3 s2
s6 s3 s8 s6 s8 s1 s4 s2 s7
s7 s0 s4 s3 s0 s7 s2 s4 s0
s8 s0 s3 s6 s0 s3 s0 s1 s6
With the initial state: s0, and accepting states: ['s0', 's5', 's1', 's8'],
What will be the state after reading the following input: h g a h g e d e d h f h a h f a a h a g ? |
a249da30-1b3a-4ec8-8952-fa0ee67b8224 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g ? | s6 | 1 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | g | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g ? |
77e2b3e0-936f-4b81-a578-11d36cdb2d12 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d ? | s7 | 11 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegd | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d ? |
3f4fa189-5a2f-4661-9893-a7c406f84211 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c ? | s6 | 17 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdcegcfc | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
(s8, 'c', s0)
(s0, 'f', s7)
(s7, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c ? |
4128b827-66e8-43a8-a96e-0df81fd6a8b2 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f ? | s7 | 16 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdcegcf | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
(s8, 'c', s0)
(s0, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f ? |
65cfadb4-7368-46bf-beb8-b3eaf31b8231 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c ? | s0 | 15 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdcegc | s0 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
(s8, 'c', s0)
Final state: s0 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c ? |
ed430e2a-d685-4d9a-96f3-60bdf4b5c337 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g ? | s8 | 14 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdceg | s8 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g ? |
b0d5a322-cc36-4b89-b7a2-a260bca9f8b2 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e ? | s6 | 13 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdce | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e ? |
1f465403-89cc-4e2d-91ea-d242fe089281 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c ? | s6 | 12 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdc | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c ? |
f0e04bb8-0dd0-4c63-bfd6-8d1e44ef069e | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c c e h ? | s5 | 20 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdcegcfcceh | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
(s8, 'c', s0)
(s0, 'f', s7)
(s7, 'c', s6)
(s6, 'c', s4)
(s4, 'e', s7)
(s7, 'h', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c c e h ? |
6e0a7aed-e71c-408f-9f6e-b58505ff2daa | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c c ? | s4 | 18 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdcegcfcc | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
(s8, 'c', s0)
(s0, 'f', s7)
(s7, 'c', s6)
(s6, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c c ? |
90bf282f-8ac4-4299-890e-c3245e5ad7bd | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g ? | s6 | 10 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaeg | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g ? |
50ac5523-c8af-4857-abd6-a7e3863290c9 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a ? | s5 | 8 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbba | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a ? |
7311d062-9789-4808-8b17-679cbefde55c | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b ? | s1 | 7 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbb | s1 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b ? |
08069600-5eeb-4add-aa50-d0906bc766fc | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b ? | s3 | 6 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgb | s3 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b ? |
0b007ba8-fcf8-4fec-8351-f942836ef644 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g ? | s7 | 5 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchg | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g ? |
e3a6a8e2-eb48-4f6b-8bad-9ba53d2ec811 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h ? | s1 | 4 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfch | s1 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h ? |
7dfcc831-3108-4dc7-8588-ad519e84176b | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c ? | s4 | 3 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfc | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c ? |
7447f7a7-b244-4853-8e82-1098eb99e18c | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f ? | s6 | 2 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gf | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f ? |
3c5886fa-57b2-497d-a605-17464dd42ac2 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e ? | s8 | 9 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbae | s8 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e ? |
4930c7c4-f0f3-4332-aa7b-88ca6d5bce33 | 9959fe0a-4cac-4459-acab-0e548dcf0faa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s8", "s0", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s7","s6":"s8","s7":"s4","s8":"s7"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s5","s7":"s3","s8":"s7"},"c":{"s0":"s8","s1":"s0","s2":"s4","s3":"s0","s4":"s4","s5":"s6","s6":"s4","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s4","s5":"s3","s6":"s7","s7":"s0","s8":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2","s4":"s7","s5":"s8","s6":"s6","s7":"s0","s8":"s8"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s5","s4":"s4","s5":"s4","s6":"s6","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s7","s2":"s8","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s3","s8":"s6"},"h":{"s0":"s6","s1":"s3","s2":"s5","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c c e ? | s7 | 19 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gfchgbbaegdcegcfcce | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s6)
(s6, 'f', s6)
(s6, 'c', s4)
(s4, 'h', s1)
(s1, 'g', s7)
(s7, 'b', s3)
(s3, 'b', s1)
(s1, 'a', s5)
(s5, 'e', s8)
(s8, 'g', s6)
(s6, 'd', s7)
(s7, 'c', s6)
(s6, 'e', s6)
(s6, 'g', s8)
(s8, 'c', s0)
(s0, 'f', s7)
(s7, 'c', s6)
(s6, 'c', s4)
(s4, 'e', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s1 s2 s8 s6 s0 s7 s6 s6
s1 s5 s0 s0 s8 s3 s2 s7 s3
s2 s5 s1 s4 s6 s2 s2 s8 s5
s3 s7 s1 s0 s5 s2 s5 s4 s3
s4 s4 s7 s4 s4 s7 s4 s7 s1
s5 s7 s2 s6 s3 s8 s4 s8 s3
s6 s8 s5 s4 s7 s6 s6 s8 s5
s7 s4 s3 s6 s0 s0 s5 s3 s5
s8 s7 s7 s0 s4 s8 s4 s6 s7
With the initial state: s0, and accepting states: ['s5', 's8', 's0', 's3', 's2'],
What will be the state after reading the following input: g f c h g b b a e g d c e g c f c c e ? |
f0064322-d9fe-4a35-bbee-07c6d8ff4e8f | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f d ? | s3 | 18 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgabdefd | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
(s1, 'd', s6)
(s6, 'e', s6)
(s6, 'f', s3)
(s3, 'd', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f d ? |
2ad0dafe-98c0-454a-90f7-522d029c7cd1 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f d f ? | s4 | 19 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgabdefdf | s4 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
(s1, 'd', s6)
(s6, 'e', s6)
(s6, 'f', s3)
(s3, 'd', s3)
(s3, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f d f ? |
c5b53193-16ab-492c-825c-0d5eb72d7dc6 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f d f c ? | s3 | 20 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgabdefdfc | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
(s1, 'd', s6)
(s6, 'e', s6)
(s6, 'f', s3)
(s3, 'd', s3)
(s3, 'f', s4)
(s4, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f d f c ? |
b8d6af9a-45aa-4499-8a77-3d094d7cb07e | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f ? | s3 | 17 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgabdef | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
(s1, 'd', s6)
(s6, 'e', s6)
(s6, 'f', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e f ? |
a261e1c4-a992-4ab1-816e-98381530a5b7 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d ? | s6 | 15 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgabd | s6 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
(s1, 'd', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d ? |
802a8310-e35a-492f-941a-171cb3458d3c | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b ? | s1 | 14 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgab | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b ? |
93cb21c5-4e9c-49e8-838b-d7045e6f8898 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a ? | s8 | 13 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacga | s8 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a ? |
b084fb94-3469-412e-b228-adfec1a0bb25 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g ? | s8 | 12 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacg | s8 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g ? |
032bf1e3-d4d4-421e-a727-544de930bf32 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c ? | s8 | 11 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaac | s8 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c ? |
8f4104ad-28b4-45fd-b026-cf8b4cc4224f | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a ? | s8 | 10 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaa | s8 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a ? |
f8f3c123-54bc-4a2d-ad6a-91da34718215 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a ? | s2 | 9 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfga | s2 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a ? |
2c33482f-7cfa-4f33-a473-24d5822d7039 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g ? | s3 | 8 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfg | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g ? |
3d46b62c-003c-4621-96eb-28b488b33286 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f ? | s6 | 7 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgf | s6 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f ? |
364c3f04-5d93-456b-bcd0-86fc76964338 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g ? | s4 | 6 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbg | s4 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g ? |
03ae322f-abb2-4bcb-add2-9d3c1301ebc7 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b ? | s1 | 5 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecb | s1 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b ? |
1f724928-774c-4f05-8d0e-b6c93f483b3e | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c ? | s8 | 4 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfec | s8 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c ? |
37278509-2927-43ff-90fd-91cb6909eae2 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e ? | s8 | 3 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfe | s8 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e ? |
fe72ff20-0e8a-496d-9250-928338090be9 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f ? | s3 | 2 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hf | s3 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f ? |
9705c6b6-a8fc-4fbd-b9f2-e8288268b53a | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e ? | s6 | 16 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | hfecbgfgaacgabde | s6 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
(s6, 'f', s3)
(s3, 'e', s8)
(s8, 'c', s8)
(s8, 'b', s1)
(s1, 'g', s4)
(s4, 'f', s6)
(s6, 'g', s3)
(s3, 'a', s2)
(s2, 'a', s8)
(s8, 'c', s8)
(s8, 'g', s8)
(s8, 'a', s8)
(s8, 'b', s1)
(s1, 'd', s6)
(s6, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h f e c b g f g a a c g a b d e ? |
90992913-c719-4a63-9d93-6530bfc91ce9 | abcea387-e675-4e96-9b77-be41ae9980c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s4","s2":"s8","s3":"s2","s4":"s7","s5":"s3","s6":"s0","s7":"s2","s8":"s8"},"b":{"s0":"s2","s1":"s3","s2":"s6","s3":"s8","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s1"},"c":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s6","s3":"s3","s4":"s8","s5":"s7","s6":"s8","s7":"s1","s8":"s7"},"e":{"s0":"s0","s1":"s5","s2":"s2","s3":"s8","s4":"s2","s5":"s8","s6":"s6","s7":"s1","s8":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s0","s6":"s3","s7":"s5","s8":"s3"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s1","s4":"s7","s5":"s8","s6":"s3","s7":"s0","s8":"s8"},"h":{"s0":"s6","s1":"s3","s2":"s7","s3":"s4","s4":"s5","s5":"s0","s6":"s8","s7":"s0","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h ? | s6 | 1 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | h | s6 | Transitions (current_state, input, next_state):
(s0, 'h', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s8 s2 s1 s1 s0 s1 s6 s6
s1 s4 s3 s1 s6 s5 s0 s4 s3
s2 s8 s6 s5 s6 s2 s2 s0 s7
s3 s2 s8 s5 s3 s8 s4 s1 s4
s4 s7 s7 s3 s8 s2 s6 s7 s5
s5 s3 s4 s3 s7 s8 s0 s8 s0
s6 s0 s1 s8 s8 s6 s3 s3 s8
s7 s2 s2 s3 s1 s1 s5 s0 s0
s8 s8 s1 s8 s7 s1 s3 s8 s3
With the initial state: s0, and accepting states: ['s6', 's8', 's1', 's4', 's2'],
What will be the state after reading the following input: h ? |
1675183a-826c-4888-b067-5430412dcb5a | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c ? | s5 | 3 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gec | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c ? |
caa6cbe4-4054-4027-907c-eb8a94d78871 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g ? | s6 | 4 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecg | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g ? |
7f25241c-87bd-4011-a096-5d117784716f | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h e d e ? | s6 | 20 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgdbahede | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
(s7, 'b', s0)
(s0, 'a', s7)
(s7, 'h', s2)
(s2, 'e', s3)
(s3, 'd', s1)
(s1, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h e d e ? |
3ef1fa8a-ca03-4a8b-96e6-f0858a2ad9e1 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g ? | s1 | 5 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgg | s1 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g ? |
1b8cb2bd-608c-49d3-9933-6b0d7a9afd09 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g ? | s0 | 6 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecggg | s0 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
Final state: s0 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g ? |
92a1fa0d-8dc9-4933-82fb-11bbe3c020e1 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e ? | s6 | 7 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecggge | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e ? |
92b91820-8623-41cb-9db9-84883f1a5e64 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b ? | s7 | 8 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggeb | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b ? |
4df222c9-1a12-42a1-bea4-7709f29f2516 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g ? | s3 | 9 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebg | s3 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g ? |
682a09bf-e956-433c-a0d4-dce77b17fa2a | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e ? | s8 | 10 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebge | s8 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e ? |
a881a24c-f0d7-426b-b275-8447f59cf27e | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f ? | s4 | 11 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgef | s4 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f ? |
d7a45496-fe3e-4473-9640-3cabf0747959 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f ? | s5 | 12 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeff | s5 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f ? |
bf252020-5101-4a8d-9296-79be0b3c58aa | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g ? | s6 | 13 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffg | s6 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g ? |
d65e736e-ce74-4a3c-9e06-2e0c5ce0457c | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d ? | s7 | 14 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgd | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d ? |
f017485e-8cee-44e0-ba7b-c1af80b07a4c | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b ? | s0 | 15 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgdb | s0 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
(s7, 'b', s0)
Final state: s0 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b ? |
f14adb35-ce80-4e1c-bd3b-1fb9f8446d5b | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a ? | s7 | 16 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgdba | s7 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
(s7, 'b', s0)
(s0, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a ? |
1479bfc5-d060-4d52-ad57-2bae5c7bd67e | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h ? | s2 | 17 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgdbah | s2 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
(s7, 'b', s0)
(s0, 'a', s7)
(s7, 'h', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h ? |
1db75510-3fc0-42a2-a184-c0c68e0dcc91 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h e ? | s3 | 18 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgdbahe | s3 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
(s7, 'b', s0)
(s0, 'a', s7)
(s7, 'h', s2)
(s2, 'e', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h e ? |
46fa14c8-2a5d-49f2-a5bd-048a2acd837f | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h e d ? | s1 | 19 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | gecgggebgeffgdbahed | s1 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
(s0, 'c', s5)
(s5, 'g', s6)
(s6, 'g', s1)
(s1, 'g', s0)
(s0, 'e', s6)
(s6, 'b', s7)
(s7, 'g', s3)
(s3, 'e', s8)
(s8, 'f', s4)
(s4, 'f', s5)
(s5, 'g', s6)
(s6, 'd', s7)
(s7, 'b', s0)
(s0, 'a', s7)
(s7, 'h', s2)
(s2, 'e', s3)
(s3, 'd', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e c g g g e b g e f f g d b a h e d ? |
10b3eda5-797b-4cff-b854-c3bf4a199b29 | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e ? | s0 | 2 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | ge | s0 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
(s8, 'e', s0)
Final state: s0 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g e ? |
7c3996c7-5d64-40aa-b26e-d4bd776b81fe | d6580051-d55c-4e95-9a5f-4e9cd95143b3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s8", "s7", "s5", "s4", "s0", "s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"b":{"s0":"s8","s1":"s1","s2":"s2","s3":"s0","s4":"s8","s5":"s5","s6":"s7","s7":"s0","s8":"s8"},"c":{"s0":"s5","s1":"s2","s2":"s7","s3":"s2","s4":"s7","s5":"s6","s6":"s0","s7":"s7","s8":"s8"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s7","s7":"s1","s8":"s4"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s3","s5":"s2","s6":"s5","s7":"s1","s8":"s0"},"f":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s5","s5":"s4","s6":"s3","s7":"s3","s8":"s4"},"g":{"s0":"s8","s1":"s0","s2":"s8","s3":"s3","s4":"s4","s5":"s6","s6":"s1","s7":"s3","s8":"s0"},"h":{"s0":"s6","s1":"s5","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s7","s7":"s2","s8":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g ? | s8 | 1 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | g | s8 | Transitions (current_state, input, next_state):
(s0, 'g', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s7 s8 s5 s1 s6 s0 s8 s6
s1 s5 s1 s2 s1 s6 s1 s0 s5
s2 s3 s2 s7 s3 s3 s8 s8 s5
s3 s3 s0 s2 s1 s8 s6 s3 s7
s4 s3 s8 s7 s3 s3 s5 s4 s7
s5 s6 s5 s6 s5 s2 s4 s6 s2
s6 s3 s7 s0 s7 s5 s3 s1 s7
s7 s4 s0 s7 s1 s1 s3 s3 s2
s8 s1 s8 s8 s4 s0 s4 s0 s1
With the initial state: s0, and accepting states: ['s6', 's8', 's7', 's5', 's4', 's0', 's1', 's3', 's2'],
What will be the state after reading the following input: g ? |
e1e0784f-dce0-4ba4-9db2-bfbb0e1ac2b4 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f ? | s7 | 8 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbef | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f ? |
2fe23c8a-396a-4699-bbc6-2a469457d775 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b ? | s1 | 1 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | b | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b ? |
2747400e-5e3e-4883-9136-69f504a08b76 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a a ? | s7 | 18 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdaheaeaa | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
(s8, 'a', s1)
(s1, 'e', s5)
(s5, 'a', s3)
(s3, 'a', s7)
Final state: s7 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a a ? |
9f8affe4-f143-4929-9c02-dd4f35c9937b | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a ? | s3 | 17 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdaheaea | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
(s8, 'a', s1)
(s1, 'e', s5)
(s5, 'a', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a ? |
2f92aa08-8a63-4d48-b4fd-7b6defbeab92 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e ? | s5 | 16 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdaheae | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
(s8, 'a', s1)
(s1, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e ? |
bb66fded-f2e9-42bb-8ef9-e0d4a502e6ae | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a ? | s1 | 15 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdahea | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
(s8, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a ? |
3f334fb5-7494-4f9e-9dda-42161c36f7e1 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e ? | s8 | 14 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdahe | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e ? |
5db87979-5b82-4615-9ba9-2d21b0ef9b36 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h ? | s5 | 13 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdah | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h ? |
f147e381-4c3a-4faa-808e-cdcd2a7b39b9 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a ? | s1 | 12 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcda | s1 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
Final state: s1 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a ? |
ea286a89-d4a4-47da-9193-d454bd4e3aea | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a a g c ? | s2 | 20 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdaheaeaagc | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
(s8, 'a', s1)
(s1, 'e', s5)
(s5, 'a', s3)
(s3, 'a', s7)
(s7, 'g', s6)
(s6, 'c', s2)
Final state: s2 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a a g c ? |
5b944739-859a-4603-814a-42161a407556 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d ? | s8 | 11 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcd | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d ? |
8e702993-7a64-4977-a165-15d74f5fa9ce | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h ? | s5 | 9 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefh | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h ? |
2ded63ca-507b-472b-b2d5-78a8ac9afcc8 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e ? | s5 | 7 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbe | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e ? |
9e9600d2-8c1c-4245-a81e-ba4bd070c301 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b ? | s3 | 6 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdb | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b ? |
259be8f9-f97a-477e-84fd-681eef7e1c4d | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d ? | s8 | 5 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcd | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
Final state: s8 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d ? |
2eb5490b-b7f1-428d-8dd9-5155e1ef96be | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c ? | s3 | 4 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahc | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
Final state: s3 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c ? |
58e6ab26-92f6-447c-8178-11e36095af0f | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h ? | s4 | 3 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bah | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
Final state: s4 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h ? |
e5c672db-668b-46da-bfb5-b47c0eb80bb6 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a ? | s6 | 2 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | ba | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a ? |
f3d3118e-6649-454b-bc77-d27ec038bd47 | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c ? | s5 | 10 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhc | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
Final state: s5 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c ? |
3dcb94fd-de4d-4d29-a7ae-b7a40ac5fc9d | d9f1644c-c54b-47c1-ab70-c76aee98ba9f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s7", "s0", "s3", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s1","s7":"s2","s8":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s3"},"c":{"s0":"s6","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5","s6":"s2","s7":"s8","s8":"s5"},"d":{"s0":"s0","s1":"s6","s2":"s6","s3":"s8","s4":"s0","s5":"s8","s6":"s0","s7":"s0","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s1","s3":"s5","s4":"s5","s5":"s8","s6":"s4","s7":"s5","s8":"s2"},"f":{"s0":"s2","s1":"s8","s2":"s8","s3":"s3","s4":"s2","s5":"s7","s6":"s3","s7":"s6","s8":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s3","s7":"s6","s8":"s5"},"h":{"s0":"s7","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s4","s7":"s5","s8":"s8"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s6 s3 s8 s3 s1 s0
s1 s3 s6 s5 s8 s0 s3 s2 s0
s2 s4 s0 s0 s6 s5 s5 s6 s4
s3 s3 s6 s6 s7 s7 s4 s6 s1
s4 s1 s2 s4 s2 s8 s1 s0 s3
s5 s1 s7 s3 s7 s3 s4 s4 s7
s6 s6 s2 s6 s4 s7 s3 s1 s8
s7 s5 s1 s0 s0 s8 s8 s6 s0
s8 s5 s2 s1 s4 s3 s5 s7 s6
With the initial state: s0, and accepting states: ['s4', 's0', 's1', 's7', 's2', 's6', 's8', 's5', 's3'],
What will be the state after reading the following input: f ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'f', s3)
Final state: s3
Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a a g ? | s6 | 19 | 9 | 8 | 9_8 | 94a78574-ce6f-4541-b970-6b010ae350d3 | 05a467d6-11a4-4b9a-8f4c-ba95767ffb43 | bahcdbefhcdaheaeaag | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s1)
(s1, 'a', s6)
(s6, 'h', s4)
(s4, 'c', s3)
(s3, 'd', s8)
(s8, 'b', s3)
(s3, 'e', s5)
(s5, 'f', s7)
(s7, 'h', s5)
(s5, 'c', s5)
(s5, 'd', s8)
(s8, 'a', s1)
(s1, 'h', s5)
(s5, 'e', s8)
(s8, 'a', s1)
(s1, 'e', s5)
(s5, 'a', s3)
(s3, 'a', s7)
(s7, 'g', s6)
Final state: s6 | Given the following FSM:
a b c d e f g h
s0 s2 s1 s6 s0 s1 s2 s2 s7
s1 s6 s4 s0 s6 s5 s8 s6 s5
s2 s2 s0 s1 s6 s1 s8 s4 s5
s3 s7 s1 s2 s8 s5 s3 s0 s3
s4 s3 s4 s3 s0 s5 s2 s3 s1
s5 s3 s6 s5 s8 s8 s7 s4 s7
s6 s1 s6 s2 s0 s4 s3 s3 s4
s7 s2 s4 s8 s0 s5 s6 s6 s5
s8 s1 s3 s5 s2 s2 s5 s5 s8
With the initial state: s0, and accepting states: ['s2', 's7', 's0', 's3', 's5', 's8'],
What will be the state after reading the following input: b a h c d b e f h c d a h e a e a a g ? |