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 187
650
| 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 |
|---|---|---|---|---|---|---|---|---|---|---|
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 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 ?
Let's think step by step | s2 | 1 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s5 | 2 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s8 | 3 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s6 | 4 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s9 | 5 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s4 | 6 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s1 | 7 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s4 | 8 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s1 | 9 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s6 | 10 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s9 | 11 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s5 | 12 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s8 | 13 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s8 | 14 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s6 | 15 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s4 | 16 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s1 | 17 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s6 | 18 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s9 | 19 | 10 | 2 | 10_2 |
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 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 ?
Let's think step by step | s5 | 20 | 10 | 2 | 10_2 |
c5647c89-3123-49e9-bcda-e58e274361a3 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b ?
Let's think step by step | s8 | 1 | 10 | 3 | 10_3 |
346430e7-a06e-4c96-9a76-f03a031c3d3d | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b ?
Let's think step by step | s3 | 2 | 10 | 3 | 10_3 |
d214e58b-5c5c-433b-8e6a-9d31afec1ba8 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b ?
Let's think step by step | s8 | 3 | 10 | 3 | 10_3 |
fc375cf1-a5cf-43ec-8de5-ff953a13ac8a | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b ?
Let's think step by step | s3 | 4 | 10 | 3 | 10_3 |
c71d8f7c-ac9a-4614-953c-326cccb913fd | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b ?
Let's think step by step | s8 | 5 | 10 | 3 | 10_3 |
8df2e59a-f01e-4ec5-b5e2-ee0abc8460e1 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a ?
Let's think step by step | s1 | 6 | 10 | 3 | 10_3 |
345a7046-07d1-4a69-bd1a-93474f5bb37e | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a ?
Let's think step by step | s9 | 7 | 10 | 3 | 10_3 |
9759e490-4a20-482c-9130-4e967865f10b | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c ?
Let's think step by step | s7 | 8 | 10 | 3 | 10_3 |
90d6465d-980e-41d4-8275-dbf2a58ecd6c | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c ?
Let's think step by step | s1 | 9 | 10 | 3 | 10_3 |
a91e1f36-f76f-4df0-b4ac-e0a92ca67755 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c ?
Let's think step by step | s0 | 10 | 10 | 3 | 10_3 |
89f22e24-1333-4b96-95c5-4690b0d9ab3d | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a ?
Let's think step by step | s6 | 11 | 10 | 3 | 10_3 |
02a8d62b-5929-4266-8582-e4653888e58f | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b ?
Let's think step by step | s1 | 12 | 10 | 3 | 10_3 |
3d956b1e-92bf-4aa3-a658-043a5b925fac | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c ?
Let's think step by step | s0 | 13 | 10 | 3 | 10_3 |
085a37c5-4e33-479e-adbc-2c734d555e5f | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c ?
Let's think step by step | s9 | 14 | 10 | 3 | 10_3 |
42a084ea-ceae-4ced-ac1d-4f969f789930 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c b ?
Let's think step by step | s8 | 15 | 10 | 3 | 10_3 |
048279b4-8e8a-496e-865c-5297fec24b70 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c b a ?
Let's think step by step | s1 | 16 | 10 | 3 | 10_3 |
13a6f468-10b6-4c36-a22f-20cbcbbe04dd | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c b a b ?
Let's think step by step | s6 | 17 | 10 | 3 | 10_3 |
ea12fd24-96a1-4f1f-9f96-962164af725d | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c b a b a ?
Let's think step by step | s1 | 18 | 10 | 3 | 10_3 |
ef280ccd-b353-411f-995c-b975d0e81873 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c b a b a c ?
Let's think step by step | s0 | 19 | 10 | 3 | 10_3 |
25291959-fc66-4b60-b771-ecea9734d611 | 8d814c6f-e47c-4bac-9810-d8fc4a46502f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s2", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s6","s1":"s9","s2":"s6","s3":"s6","s4":"s8","s5":"s3","s6":"s1","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s8","s1":"s6","s2":"s6","s3":"s8","s4":"s7","s5":"s7","s6":"s1","s7":"s9","s8":"s3","s9":"s8"},"c":{"s0":"s9","s1":"s0","s2":"s6","s3":"s0","s4":"s2","s5":"s4","s6":"s9","s7":"s1","s8":"s5","s9":"s7"}} | Given the following FSM:
a b c
s0 s6 s8 s9
s1 s9 s6 s0
s2 s6 s6 s6
s3 s6 s8 s0
s4 s8 s7 s2
s5 s3 s7 s4
s6 s1 s1 s9
s7 s0 s9 s1
s8 s1 s3 s5
s9 s9 s8 s7
With the initial state: s0, and accepting states: ['s2', 's4', 's0'],
What will be the state after reading the following input: b b b b b a a c c c a b c c b a b a c b ?
Let's think step by step | s8 | 20 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 1 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 2 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s3 | 3 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s0 | 4 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s1 | 5 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 6 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s3 | 7 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s5 | 8 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 9 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s3 | 10 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s10 | 11 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s11 | 12 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s11 | 13 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s9 | 14 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s7 | 15 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s0 | 16 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 17 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 18 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s3 | 19 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s5 | 20 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s1 | 1 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 2 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s8 | 3 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s5 | 4 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 5 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 6 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 7 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 8 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 9 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 10 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 11 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 12 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 13 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 14 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 15 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s8 | 16 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s5 | 17 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 18 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s2 | 19 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 20 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 1 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s11 | 2 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s8 | 3 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 4 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s0 | 5 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 6 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 7 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s9 | 8 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s5 | 9 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s0 | 10 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 11 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 12 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s9 | 13 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 14 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s9 | 15 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s6 | 16 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s0 | 17 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s4 | 18 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s11 | 19 | 10 | 3 | 10_3 |
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 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 ?
Let's think step by step | s8 | 20 | 10 | 3 | 10_3 |