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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ef57028a-05f5-4e45-b14c-0845b51f8878 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b ? | s9 | 11 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabb | s9 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
Final state: s9 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b ? |
b33c7632-ae9a-42c5-b34a-087ca965a7f1 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a b ? | s6 | 18 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaabaaab | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
Final state: s6 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a b ? |
9990e236-2da6-4a03-a4b1-e47f33070dc3 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a ? | s1 | 17 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaabaaa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s4)
(s4, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a ? |
f76c9ff1-7d33-4f37-84b8-ffc08404e114 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a ? | s4 | 16 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaabaa | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a ? |
8c4f64b9-f8e1-4b89-8ce4-1d7397767c57 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a ? | s6 | 15 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaaba | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
(s8, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a ? |
8d1c115f-2602-48d1-bc3c-0f188c28e824 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b ? | s8 | 14 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaab | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b ? |
76fe3578-decf-406a-be32-0e95c29916fa | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a ? | s8 | 13 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaa | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a ? |
28017e37-5382-4594-95fa-fa54c2490692 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a ? | s5 | 12 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabba | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a ? |
3399a567-cd04-4cc5-86ec-5817409cb560 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b ? | s6 | 10 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaab | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
Final state: s6 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b ? |
4b1ae812-1fba-444c-beb1-d79e500ffd2d | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a ? | s2 | 1 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | a | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
Final state: s2 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a ? |
a47d9dfe-15d6-45e2-9e41-adf62aca902a | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a ? | s4 | 8 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaa | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a ? |
d4cdd9f6-e782-4fa7-909b-191d349d927b | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a ? | s1 | 7 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabba | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a ? |
22551282-1f02-437d-a7ec-a0b679ddebbf | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b ? | s4 | 6 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabb | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
Final state: s4 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b ? |
f1caa1d7-27af-4512-be83-2a585a8b4f86 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b ? | s9 | 5 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaab | s9 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
Final state: s9 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b ? |
56e036b0-e9c7-4e2b-863a-710d0a07f4a2 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a ? | s6 | 4 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaa | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
Final state: s6 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a ? |
60f080d9-fc01-4cc0-bd5f-fd4dd888f2af | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a ? | s8 | 3 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaa | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
Final state: s8 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a ? |
044a974c-f4c0-445f-abb2-7473175775d9 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a ? | s5 | 2 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aa | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a ? |
86c97c41-1c04-4a04-93a2-4daa3d0123ea | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a b b ? | s9 | 19 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaabaaabb | s9 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
Final state: s9 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a b b ? |
46c4f260-5b59-498c-bfbd-656e90614441 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a ? | s1 | 9 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaa | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
Final state: s1 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a ? |
9d782176-f09f-4792-b745-791c06697e02 | e5311ea0-4abe-428a-80b4-f5162087eadb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s4","s7":"s8","s8":"s6","s9":"s5"},"b":{"s0":"s3","s1":"s6","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s9","s7":"s3","s8":"s8","s9":"s4"}} | Given the following FSM:
a b
s0 s2 s10
s1 s9 s2
s2 s8 s10
s3 s5 s5
s5 s8 s5
s6 s8 s1
s7 s7 s7
s8 s8 s0
s9 s7 s3
s10 s10 s6
With the initial state: s0, and accepting states: ['s3', 's1', 's5', 's6', 's8', 's0', 's9', 's10', 's7'],
What will be the state after reading the following input: b a a b a a a b b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s10)
(s10, 'a', s10)
(s10, 'a', s10)
(s10, 'b', s6)
(s6, 'a', s8)
(s8, 'a', s8)
(s8, 'a', s8)
(s8, 'b', s0)
(s0, 'b', s10)
Final state: s10
Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a b b a ? | s5 | 20 | 10 | 2 | 10_2 | af5740ea-75b8-43a5-b740-77a295c86f9b | 177e1684-e4d5-4afe-b430-471520774e56 | aaaabbaaabbaabaaabba | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s2)
(s2, 'a', s5)
(s5, 'a', s8)
(s8, 'a', s6)
(s6, 'b', s9)
(s9, 'b', s4)
(s4, 'a', s1)
(s1, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
(s5, 'a', s8)
(s8, 'b', s8)
(s8, 'a', s6)
(s6, 'a', s4)
(s4, 'a', s1)
(s1, 'b', s6)
(s6, 'b', s9)
(s9, 'a', s5)
Final state: s5 | Given the following FSM:
a b
s0 s2 s3
s1 s4 s6
s2 s5 s0
s3 s4 s6
s4 s1 s6
s5 s8 s7
s6 s4 s9
s7 s8 s3
s8 s6 s8
s9 s5 s4
With the initial state: s0, and accepting states: ['s2', 's5', 's9'],
What will be the state after reading the following input: a a a a b b a a a b b a a b a a a b b a ? |
c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ? | s6 | 1 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | b | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ? |
aca870e8-1e7e-403a-934b-1a4bc1bb209e | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c ? | s2 | 2 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bc | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c ? |
ecb8242e-fb73-4910-b423-6abc5aafd3d0 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a b ? | s2 | 19 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbccabcab | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
(s4, 'a', s5)
(s5, 'b', s2)
(s2, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a b ? |
28b6424a-8159-4666-a54e-ebc9dec86962 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a ? | s8 | 18 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbccabca | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
(s4, 'a', s5)
(s5, 'b', s2)
(s2, 'c', s9)
(s9, 'a', s8)
Final state: s8 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a ? |
5057d01b-c90e-450e-8eba-0fe0c1d4fde2 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c ? | s9 | 17 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbccabc | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
(s4, 'a', s5)
(s5, 'b', s2)
(s2, 'c', s9)
Final state: s9 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c ? |
b08f9f00-10b9-4c15-a7f7-af26fc318d69 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b ? | s2 | 16 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbccab | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
(s4, 'a', s5)
(s5, 'b', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b ? |
3564a949-b183-4d81-be16-f7d2f0c85018 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a ? | s5 | 15 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbcca | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
(s4, 'a', s5)
Final state: s5 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a ? |
fbf5bd7b-dacf-4229-b807-604284b1d36e | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c ? | s4 | 14 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbcc | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c ? |
f9a5a856-c163-48ec-be3c-b4da58f0bd7c | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c ? | s7 | 13 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbc | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
Final state: s7 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c ? |
815c7898-ec63-49f0-b3b9-f018c2410105 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b ? | s4 | 12 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababb | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b ? |
537aa988-de6c-4e9c-bfeb-c04911829a0d | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a b a ? | s0 | 20 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacababbccabcaba | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
(s6, 'b', s4)
(s4, 'c', s7)
(s7, 'c', s4)
(s4, 'a', s5)
(s5, 'b', s2)
(s2, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a b a ? |
9346157f-0b06-4eab-90f9-da8938f48ce3 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a ? | s0 | 10 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacaba | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a ? |
91a8e883-2158-4d2d-a60b-681c036463e0 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b ? | s2 | 9 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacab | s2 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b ? |
5314808e-3f9b-4c74-97ad-582d7c071352 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a ? | s8 | 8 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcaca | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
Final state: s8 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a ? |
1295e78f-7ed5-4238-be29-c984fdc00d52 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c ? | s9 | 7 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcac | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
Final state: s9 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c ? |
2801d168-4a51-4044-a6db-6be10863fa8d | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a ? | s3 | 6 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbca | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
Final state: s3 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a ? |
f9698352-d9e3-4d62-bc67-819de6ca3e94 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c ? | s7 | 5 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbc | s7 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
Final state: s7 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c ? |
a67d8b25-dc59-4580-b476-4d5c060420f5 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b ? | s4 | 4 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbb | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b ? |
4367e5e4-92fd-4aab-bed3-cbc07605c22f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b ? | s3 | 3 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcb | s3 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
Final state: s3 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b ? |
3c616657-6040-4cfb-a82a-de27d818977d | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4
Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b ? | s6 | 11 | 10 | 3 | 10_3 | a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | bcbbcacabab | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s6)
(s6, 'c', s2)
(s2, 'b', s3)
(s3, 'b', s4)
(s4, 'c', s7)
(s7, 'a', s3)
(s3, 'c', s9)
(s9, 'a', s8)
(s8, 'b', s2)
(s2, 'a', s0)
(s0, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b ? |
a963feb4-ad65-42db-9a39-3e63b42dc893 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ? | s4 | 8 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccac | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c ? |
786443df-6ee5-4aae-8477-1846a23fae34 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a ? | s2 | 7 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababcca | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a ? |
49d844d8-0e04-44f3-9407-26b7e8d56ddb | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b ? | s5 | 4 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | abab | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
Final state: s5 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b ? |
15427e7b-0db9-4169-85f2-33f708041f2b | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c ? | s6 | 5 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababc | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c ? |
de82d770-b72f-4357-99bc-034701fe43c2 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b ? | s6 | 10 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacab | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b ? |
1f5e2949-1de7-45b2-8133-96220083fdbb | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a ? | s8 | 3 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | aba | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
Final state: s8 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a ? |
eb58d45c-601c-4852-9b63-e0968ac78475 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c ? | s2 | 6 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababcc | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c ? |
6974f88d-a898-44c6-85e9-2315fbfe0e39 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c ? | s2 | 11 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabc | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c ? |
6511b125-8566-481f-8ff1-1f5caff2d89c | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b ? | s6 | 15 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcacab | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b ? |
ffcc2603-13ac-43a1-920a-458e9ec0c27d | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c ? | s4 | 13 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcac | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c ? |
18264c6e-ba3e-4844-9159-811844a370c7 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a ? | s2 | 14 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcaca | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a ? |
26635294-3c4b-4bc8-9c94-009e0beece20 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a ? | s8 | 16 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcacaba | s8 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'a', s8)
Final state: s8 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a ? |
837466d2-5cb1-4ab7-acd6-b8c0916a9747 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c ? | s5 | 17 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcacabac | s5 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'a', s8)
(s8, 'c', s5)
Final state: s5 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c ? |
617c1850-424c-4871-9d66-52dc89f23f0b | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c b ? | s6 | 18 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcacabacb | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'a', s8)
(s8, 'c', s5)
(s5, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c b ? |
45e615b9-630d-4169-8ec9-e93a0834c4c7 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c b c ? | s2 | 19 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcacabacbc | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'a', s8)
(s8, 'c', s5)
(s5, 'b', s6)
(s6, 'c', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c b c ? |
ef5bb32f-0a87-4c3f-9d80-69fb1810cc60 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b ? | s6 | 2 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ab | s6 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b ? |
7d507423-07e6-403a-a83d-64ff5b21872e | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c b c c ? | s4 | 20 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabcacabacbcc | s4 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'a', s8)
(s8, 'c', s5)
(s5, 'b', s6)
(s6, 'c', s2)
(s2, 'c', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a c a b a c b c c ? |
aa1ff9f1-9450-41b4-b519-165928998ba1 | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a ? | s2 | 12 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccacabca | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
(s2, 'b', s6)
(s6, 'c', s2)
(s2, 'a', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a b c a ? |
10df2486-d041-42df-8edc-40fe0a9426cb | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a ? | s1 | 1 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | a | s1 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
Final state: s1 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a ? |
9105f793-1c6b-479b-87e9-f565ad63615e | 4385d77a-f252-468a-a00d-d3377b2feaa6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s2","s5":"s9","s6":"s8","s7":"s0","s8":"s6","s9":"s7"},"b":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s0","s7":"s0","s8":"s5","s9":"s6"},"c":{"s0":"s2","s1":"s5","s2":"s4","s3":"s3","s4":"s9","s5":"s6","s6":"s2","s7":"s1","s8":"s5","s9":"s3"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a ? | s2 | 9 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ababccaca | s2 | Transitions (current_state, input, next_state):
(s0, 'a', s1)
(s1, 'b', s6)
(s6, 'a', s8)
(s8, 'b', s5)
(s5, 'c', s6)
(s6, 'c', s2)
(s2, 'a', s2)
(s2, 'c', s4)
(s4, 'a', s2)
Final state: s2 | Given the following FSM:
a b c
s0 s1 s7 s2
s1 s5 s6 s5
s2 s2 s6 s4
s3 s7 s6 s3
s4 s2 s6 s9
s5 s9 s6 s6
s6 s8 s0 s2
s7 s0 s0 s1
s8 s6 s5 s5
s9 s7 s6 s3
With the initial state: s0, and accepting states: ['s0'],
What will be the state after reading the following input: a b a b c c a c a ? |
74ef2cfa-31d5-4e69-9c07-6c441a4ef27f | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a a b ? | s3 | 19 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabacbbaab | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
(s9, 'b', s7)
(s7, 'b', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s3)
Final state: s3 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a a b ? |
725b8a34-f294-4f50-b32e-6689c08bfe86 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c ? | s4 | 1 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | c | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c ? |
e40afa2b-5e82-48c5-b1de-e1a704703a67 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a ? | s6 | 2 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | ca | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a ? |
1f8d740c-b4ff-4556-8f5b-d4f25b9919c1 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b ? | s3 | 3 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cab | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
Final state: s3 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b ? |
9530bd95-732d-4a16-bcc5-b9d513ba282e | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c ? | s0 | 4 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabc | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c ? |
a58f9b01-dee3-4d7e-8b87-471b643593c9 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b ? | s6 | 6 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbb | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b ? |
490a66f5-2322-4c87-b285-f824fcb71836 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b ? | s3 | 7 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbb | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
Final state: s3 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b ? |
1f0bf7e0-2a20-4cda-8eca-5ae155ddb040 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b ? | s5 | 8 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbb | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
Final state: s5 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b ? |
a607675c-f85b-4d7d-a589-2247ce3e57e5 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c ? | s6 | 9 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbc | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c ? |
10a16d20-4f25-4981-89bd-cb8abb955987 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b ? | s1 | 5 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcb | s1 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
Final state: s1 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b ? |
d37fa2da-966f-4671-b642-7d7a7eddb2ba | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a ? | s10 | 11 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcba | s10 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
Final state: s10 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a ? |
aa606e7b-4cf6-4204-8a95-29aceb34f929 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b ? | s3 | 10 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcb | s3 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
Final state: s3 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b ? |
424c9e77-2793-4264-9ff1-2622025f5c78 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a a ? | s6 | 18 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabacbbaa | s6 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
(s9, 'b', s7)
(s7, 'b', s0)
(s0, 'a', s4)
(s4, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a a ? |
aba96c9d-0287-4b89-90e9-4696498cd90e | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a ? | s4 | 17 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabacbba | s4 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
(s9, 'b', s7)
(s7, 'b', s0)
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a ? |
c1a5b85a-b04d-4bdd-8e48-97ce9ee75c6d | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b ? | s0 | 16 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabacbb | s0 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
(s9, 'b', s7)
(s7, 'b', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b ? |
9d64d625-431e-43dc-bdaf-11b03d6665f6 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a a b b ? | s5 | 20 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabacbbaabb | s5 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
(s9, 'b', s7)
(s7, 'b', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'b', s5)
Final state: s5 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b b a a b b ? |
43113294-e24d-4a2f-a4ea-de6b6af1857f | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c ? | s9 | 14 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabac | s9 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
Final state: s9 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c ? |
5285e1c6-5e66-4b0c-919f-96905d404434 | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a ? | s11 | 13 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbaba | s11 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
Final state: s11 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a ? |
ae74ca37-04ca-4ca8-a9b4-4f7f1323aa7d | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b ? | s11 | 12 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbab | s11 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
Final state: s11 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b ? |
452daa1a-c30d-4cee-9339-c274ef22024a | 44125723-88fb-45b8-a92b-c07b0029ab20 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s1", "s9", "s10", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s3":"s10","s4":"s6","s5":"s7","s6":"s10","s7":"s10","s9":"s3","s10":"s6","s11":"s11"},"b":{"s0":"s1","s1":"s6","s3":"s5","s4":"s1","s5":"s3","s6":"s3","s7":"s0","s9":"s7","s10":"s11","s11":"s6"},"c":{"s0":"s4","s1":"s5","s3":"s0","s4":"s5","s5":"s6","s6":"s10","s7":"s4","s9":"s9","s10":"s11","s11":"s9"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b ? | s7 | 15 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | cabcbbbbcbabacb | s7 | Transitions (current_state, input, next_state):
(s0, 'c', s4)
(s4, 'a', s6)
(s6, 'b', s3)
(s3, 'c', s0)
(s0, 'b', s1)
(s1, 'b', s6)
(s6, 'b', s3)
(s3, 'b', s5)
(s5, 'c', s6)
(s6, 'b', s3)
(s3, 'a', s10)
(s10, 'b', s11)
(s11, 'a', s11)
(s11, 'c', s9)
(s9, 'b', s7)
Final state: s7 | Given the following FSM:
a b c
s0 s4 s1 s4
s1 s6 s6 s5
s3 s10 s5 s0
s4 s6 s1 s5
s5 s7 s3 s6
s6 s10 s3 s10
s7 s10 s0 s4
s9 s3 s7 s9
s10 s6 s11 s11
s11 s11 s6 s9
With the initial state: s0, and accepting states: ['s1', 's9', 's10', 's4', 's3'],
What will be the state after reading the following input: c a b c b b b b c b a b a c b ? |
da790c51-6ff6-4abe-8b41-ed866d69eb61 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a ? | s4 | 11 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabcca | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a ? |
b3b6aba2-5922-48ae-8275-eb4966104dfd | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c b ? | s4 | 18 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaababacb | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'c', s0)
(s0, 'b', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c b ? |
6d58817b-b958-45ef-8438-f38ffccc73f0 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c ? | s0 | 17 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaababac | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'c', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c ? |
9055a2cc-7fcf-4aa1-aae1-8b8e342fd2d1 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a ? | s6 | 16 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaababa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a ? |
a58fc6aa-1362-4f69-91f0-d7fdbdfa5610 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b ? | s9 | 15 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaabab | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'b', s9)
Final state: s9 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b ? |
db230f13-5d3d-426d-9414-f8e42b35cb5e | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a ? | s6 | 14 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaaba | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a ? |
38b5ef98-44bc-40c8-bd1b-bd3788304642 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b ? | s9 | 13 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaab | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
Final state: s9 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b ? |
c40016ab-7ef4-487e-b93b-b48a1b63b2ac | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a ? | s6 | 12 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a ? |
bdc2f7a3-9e9a-4aa5-80ca-45fbcb0662cd | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c b c ? | s11 | 19 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaababacbc | s11 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'c', s0)
(s0, 'b', s4)
(s4, 'c', s11)
Final state: s11 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c b c ? |
e0a5f2a5-2c73-4496-9ae7-b04837e2fd37 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c ? | s5 | 9 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabc | s5 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
Final state: s5 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c ? |
64e2827b-d46d-41fa-ae79-c2495aa4751d | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b ? | s9 | 8 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaab | s9 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
Final state: s9 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b ? |
4aaca7f9-a9d1-4421-aa92-358464dc538a | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c ? | s0 | 10 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabcc | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c ? |
6998c1a2-a9d9-4074-8373-6621744e434e | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b ? | s4 | 1 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | b | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b ? |
2a1a6366-1a52-45b7-8e63-5a7e549f0c3c | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b ? | s11 | 2 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bb | s11 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
Final state: s11 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b ? |
19e591c0-db5f-49cb-bd71-bae39b723ee7 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a ? | s8 | 3 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bba | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
Final state: s8 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a ? |
cfe1d93a-48ad-4c75-8683-27a4e08757e8 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c b c a ? | s8 | 20 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaabccaababacbca | s8 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'c', s5)
(s5, 'c', s0)
(s0, 'a', s4)
(s4, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'b', s9)
(s9, 'a', s6)
(s6, 'c', s0)
(s0, 'b', s4)
(s4, 'c', s11)
(s11, 'a', s8)
Final state: s8 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a b c c a a b a b a c b c a ? |
a6eaf414-ce3f-4da4-ac84-0a95ad16c518 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a ? | s0 | 5 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaa | s0 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
Final state: s0 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a ? |
a53ba3bd-03a6-4fbd-a3d0-ace8a735a64f | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a ? | s4 | 6 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaa | s4 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
Final state: s4 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a ? |
c4b005ee-270d-4bb8-9c7e-8645b3358316 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a ? | s6 | 7 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaaaaa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
(s6, 'a', s0)
(s0, 'a', s4)
(s4, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a a a a ? |
27745b5b-a72e-40c3-a302-23c483a7ca87 | 4e460e36-5bbf-472f-b74e-27d3aa517626 | {"states": ["s0", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s11", "s8", "s9", "s5", "s12", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s4","s4":"s6","s5":"s8","s6":"s0","s7":"s12","s8":"s6","s9":"s6","s10":"s9","s11":"s8","s12":"s12"},"b":{"s0":"s4","s4":"s11","s5":"s4","s6":"s9","s7":"s12","s8":"s0","s9":"s7","s10":"s11","s11":"s10","s12":"s4"},"c":{"s0":"s4","s4":"s11","s5":"s0","s6":"s0","s7":"s10","s8":"s5","s9":"s5","s10":"s9","s11":"s9","s12":"s5"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Solution:
Transitions (current_state, input, next_state):
(s0, 'b', s6)
Final state: s6
Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a ? | s6 | 4 | 10 | 3 | 10_3 | c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | bbaa | s6 | Transitions (current_state, input, next_state):
(s0, 'b', s4)
(s4, 'b', s11)
(s11, 'a', s8)
(s8, 'a', s6)
Final state: s6 | Given the following FSM:
a b c
s0 s4 s4 s4
s4 s6 s11 s11
s5 s8 s4 s0
s6 s0 s9 s0
s7 s12 s12 s10
s8 s6 s0 s5
s9 s6 s7 s5
s10 s9 s11 s9
s11 s8 s10 s9
s12 s12 s4 s5
With the initial state: s0, and accepting states: ['s4', 's11', 's8', 's9', 's5', 's12', 's6'],
What will be the state after reading the following input: b b a a ? |