env stringclasses 1
value | prompt stringlengths 908 1.92k | extra dict |
|---|---|---|
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [[][]]<>{}<[]><>[][... | {
"game_data": {
"answer": "3,5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[][]]<>{}<[]><>[][<>{}]",
"error_indices": [
3,
5
],
"n_errors": 2,
"n_types": 4,
"seed": 92465992,
"thoughts": [
"Thought 1: We sho... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: (()<[]>({}))(){{}<>... | {
"game_data": {
"answer": "13,23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(()<[]>({}))(){{}<>}{}",
"error_indices": [
13,
23
],
"n_errors": 2,
"n_types": 4,
"seed": 43055782,
"thoughts": [
"Thought 1: We s... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [][]<><[]{}>
Though... | {
"game_data": {
"answer": "3,5,7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][]<><[]{}>",
"error_indices": [
3,
5,
7
],
"n_errors": 3,
"n_types": 4,
"seed": 17664485,
"thoughts": [
"Thought 1: We sh... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ({}){{(()((){})[])}... | {
"game_data": {
"answer": "10,15,16,23,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "({}){{(()((){})[])}}()",
"error_indices": [
10,
15,
16,
23,
24
],
"n_errors": 5,
"n_types": 3,
"seed": 32973082,... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,17,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()[][[[]((()))[]]]()",
"error_indices": [
3,
17,
21
],
"n_errors": 3,
"n_types": 2,
"seed": 1298554,
"thoughts": [
"Thoug... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()(){(){({[{}]()})(... | {
"game_data": {
"answer": "3,23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()(){(){({[{}]()})()}{[]}{}}",
"error_indices": [
3,
23
],
"n_errors": 2,
"n_types": 3,
"seed": 79483119,
"thoughts": [
"Thought 1: ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()((())())
Thought ... | {
"game_data": {
"answer": "8,9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()((())())",
"error_indices": [
8,
9
],
"n_errors": 2,
"n_types": 2,
"seed": 44810342,
"thoughts": [
"Thought 1: We should process th... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [({{}})]{}
Thought ... | {
"game_data": {
"answer": "4,9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[({{}})]{}",
"error_indices": [
4,
9
],
"n_errors": 2,
"n_types": 4,
"seed": 10228633,
"thoughts": [
"Thought 1: We should process th... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ([])([])[{}]()[](){... | {
"game_data": {
"answer": "4,14,19,21,26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "([])([])[{}]()[](){[]}()",
"error_indices": [
4,
14,
19,
21,
26
],
"n_errors": 5,
"n_types": 3,
"seed": 51150511,... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [[[][]]][]()[]([()]... | {
"game_data": {
"answer": "7,13,15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[[][]]][]()[]([()])()",
"error_indices": [
7,
13,
15
],
"n_errors": 3,
"n_types": 2,
"seed": 45860196,
"thoughts": [
"Th... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "7,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()[]([])([](([[]][][])))()",
"error_indices": [
7,
14
],
"n_errors": 2,
"n_types": 2,
"seed": 65826112,
"thoughts": [
"Thought 1: We... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "15,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()[][[[]()][][][][]]",
"error_indices": [
15,
21
],
"n_errors": 2,
"n_types": 2,
"seed": 11535858,
"thoughts": [
"Thought 1: We sho... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "5,10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[](){[]}[][()]",
"error_indices": [
5,
10
],
"n_errors": 2,
"n_types": 4,
"seed": 12843333,
"thoughts": [
"Thought 1: We should proc... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <><>()()([[<>]]{})
... | {
"game_data": {
"answer": "4,6,7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<><>()()([[<>]]{})",
"error_indices": [
4,
6,
7
],
"n_errors": 3,
"n_types": 4,
"seed": 75189019,
"thoughts": [
"Thought 1:... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: (())([])[[[]()]]()(... | {
"game_data": {
"answer": "6,10,13,17,22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(())([])[[[]()]]()()",
"error_indices": [
6,
10,
13,
17,
22
],
"n_errors": 5,
"n_types": 2,
"seed": 11241793,
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()({})()<((({{}})))... | {
"game_data": {
"answer": "7,28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()({})()<((({{}})))>()([])",
"error_indices": [
7,
28
],
"n_errors": 2,
"n_types": 4,
"seed": 77284839,
"thoughts": [
"Thought 1: We... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ({[[]]{}()[]})[{}]
... | {
"game_data": {
"answer": "12,14,19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "({[[]]{}()[]})[{}]",
"error_indices": [
12,
14,
19
],
"n_errors": 3,
"n_types": 3,
"seed": 36988808,
"thoughts": [
"Thou... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: (<<()<{{[][]}}>>[[]... | {
"game_data": {
"answer": "3,15,22,27,30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(<<()<{{[][]}}>>[[]()]<>>{})",
"error_indices": [
3,
15,
22,
27,
30
],
"n_errors": 5,
"n_types": 4,
"seed": 85417... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: []{[][]}{}{[({}{})[... | {
"game_data": {
"answer": "4,7,14,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[]{[][]}{}{[({}{})[]]{}}",
"error_indices": [
4,
7,
14,
24
],
"n_errors": 4,
"n_types": 3,
"seed": 73183477,
"thoughts"... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,5,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "((([]))([]((([[[]]][])))()))()",
"error_indices": [
3,
5,
14
],
"n_errors": 3,
"n_types": 2,
"seed": 79816001,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: (((((())))()(()[]))... | {
"game_data": {
"answer": "15,19,25,26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(((((())))()(()[]))[][])",
"error_indices": [
15,
19,
25,
26
],
"n_errors": 4,
"n_types": 2,
"seed": 6779149,
"though... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "6,8,11,18,22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][]()[][(()[[]])]()",
"error_indices": [
6,
8,
11,
18,
22
],
"n_errors": 5,
"n_types": 2,
"seed": 96966444,
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {({})}()()[][]<>
Th... | {
"game_data": {
"answer": "4,8,17",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{({})}()()[][]<>",
"error_indices": [
4,
8,
17
],
"n_errors": 3,
"n_types": 4,
"seed": 469563,
"thoughts": [
"Thought 1: W... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ([](){}[])
Thought ... | {
"game_data": {
"answer": "8,9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "([](){}[])",
"error_indices": [
8,
9
],
"n_errors": 2,
"n_types": 3,
"seed": 21269649,
"thoughts": [
"Thought 1: We should process th... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [([[(())[[][]]]]())... | {
"game_data": {
"answer": "20,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[([[(())[[][]]]]())()]",
"error_indices": [
20,
21
],
"n_errors": 2,
"n_types": 2,
"seed": 65116407,
"thoughts": [
"Thought 1: We s... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()()(())()[[([])][]... | {
"game_data": {
"answer": "13,14,20,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()()(())()[[([])][]]",
"error_indices": [
13,
14,
20,
21
],
"n_errors": 4,
"n_types": 2,
"seed": 46117647,
"thoughts"... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {{<><>}<{}>}[]
Thou... | {
"game_data": {
"answer": "4,11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{{<><>}<{}>}[]",
"error_indices": [
4,
11
],
"n_errors": 2,
"n_types": 4,
"seed": 51839450,
"thoughts": [
"Thought 1: We should proc... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [{{<<>[]>{}}}()]
Th... | {
"game_data": {
"answer": "5,14,17,18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[{{<<>[]>{}}}()]",
"error_indices": [
5,
14,
17,
18
],
"n_errors": 4,
"n_types": 4,
"seed": 43824802,
"thoughts": [
... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "6,15,17,20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "({}){[{[()]{}}]()}",
"error_indices": [
6,
15,
17,
20
],
"n_errors": 4,
"n_types": 4,
"seed": 93158710,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ([])()()(){}((()[](... | {
"game_data": {
"answer": "5,12,13,15,19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "([])()()(){}((()[]({})))[]",
"error_indices": [
5,
12,
13,
15,
19
],
"n_errors": 5,
"n_types": 3,
"seed": 4061676... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "7,9,11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{}()()<{}><>[]",
"error_indices": [
7,
9,
11
],
"n_errors": 3,
"n_types": 4,
"seed": 67395307,
"thoughts": [
"Thought 1: W... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "4,15,18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<(())<<>><{}>{}>",
"error_indices": [
4,
15,
18
],
"n_errors": 3,
"n_types": 4,
"seed": 60207199,
"thoughts": [
"Thought ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {}[][][]{()}[[()]{}... | {
"game_data": {
"answer": "15,16,19,27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{}[][][]{()}[[()]{}][[]()]",
"error_indices": [
15,
16,
19,
27
],
"n_errors": 4,
"n_types": 3,
"seed": 31669321,
"tho... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "9,16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{[]}{{}}[{}[]{}()]",
"error_indices": [
9,
16
],
"n_errors": 2,
"n_types": 3,
"seed": 76731964,
"thoughts": [
"Thought 1: We should ... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "10,28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[{}[{{[{}]}}]](){[]{[()]()}}{}",
"error_indices": [
10,
28
],
"n_errors": 2,
"n_types": 3,
"seed": 92066197,
"thoughts": [
"Thought... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "5,9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(){}[[]][]",
"error_indices": [
5,
9
],
"n_errors": 2,
"n_types": 3,
"seed": 65164316,
"thoughts": [
"Thought 1: We should process th... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <<>[<[]>()]><><>(){... | {
"game_data": {
"answer": "12,14,15,16,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<<>[<[]>()]><><>(){}",
"error_indices": [
12,
14,
15,
16,
21
],
"n_errors": 5,
"n_types": 4,
"seed": 75625297,
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: []{(([])){}}
Though... | {
"game_data": {
"answer": "4,7,12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[]{(([])){}}",
"error_indices": [
4,
7,
12
],
"n_errors": 3,
"n_types": 4,
"seed": 70771745,
"thoughts": [
"Thought 1: We ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [()]<><>[{[{[]}[]]}... | {
"game_data": {
"answer": "6,16,23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[()]<><>[{[{[]}[]]}<>]",
"error_indices": [
6,
16,
23
],
"n_errors": 3,
"n_types": 4,
"seed": 71308174,
"thoughts": [
"Th... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "4,13,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()[()<()>(({}))<>]<>[[]]()",
"error_indices": [
4,
13,
24
],
"n_errors": 3,
"n_types": 4,
"seed": 83456087,
"thoughts": [
... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "7,13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[({}[]())()]",
"error_indices": [
7,
13
],
"n_errors": 2,
"n_types": 3,
"seed": 33647707,
"thoughts": [
"Thought 1: We should proces... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "6,11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{({[]})}[]",
"error_indices": [
6,
11
],
"n_errors": 2,
"n_types": 3,
"seed": 31807400,
"thoughts": [
"Thought 1: We should process ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [](){[][[{([])}[]]]... | {
"game_data": {
"answer": "4,9,16,21,23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[](){[][[{([])}[]]]}()",
"error_indices": [
4,
9,
16,
21,
23
],
"n_errors": 5,
"n_types": 3,
"seed": 34225796,
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {{}}{[]}[{}<{()[[<>... | {
"game_data": {
"answer": "7,9,17,21,32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{{}}{[]}[{}<{()[[<>]][]()}><>]",
"error_indices": [
7,
9,
17,
21,
32
],
"n_errors": 5,
"n_types": 4,
"seed": 32591... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "9,12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[[]][][()]()]()",
"error_indices": [
9,
12
],
"n_errors": 2,
"n_types": 2,
"seed": 29863965,
"thoughts": [
"Thought 1: We should pr... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "17,20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[](([[[]]]()))[([])][]",
"error_indices": [
17,
20
],
"n_errors": 2,
"n_types": 2,
"seed": 9399938,
"thoughts": [
"Thought 1: We sh... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <>{}(<><[]<[<{}>]{}... | {
"game_data": {
"answer": "12,15,24,25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<>{}(<><[]<[<{}>]{}>><>)",
"error_indices": [
12,
15,
24,
25
],
"n_errors": 4,
"n_types": 4,
"seed": 50301174,
"thoug... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,15,22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{[]}()({})[][]({[]})()",
"error_indices": [
3,
15,
22
],
"n_errors": 3,
"n_types": 3,
"seed": 95216963,
"thoughts": [
"Th... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "12,13,20,27",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[(([()]())[])]][]()[](()())",
"error_indices": [
12,
13,
20,
27
],
"n_errors": 4,
"n_types": 2,
"seed": 24129388,
"t... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [(<()[{<()>}]>[[]])... | {
"game_data": {
"answer": "19,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[(<()[{<()>}]>[[]])]()",
"error_indices": [
19,
21
],
"n_errors": 2,
"n_types": 4,
"seed": 41788669,
"thoughts": [
"Thought 1: We s... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <>([<<><()()>()[]><... | {
"game_data": {
"answer": "11,16,18,26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<>([<<><()()>()[]><>])<>",
"error_indices": [
11,
16,
18,
26
],
"n_errors": 4,
"n_types": 4,
"seed": 96170787,
"thoug... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "8,19,23,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<({({{<<>[]>}}<>){}}){}>",
"error_indices": [
8,
19,
23,
24
],
"n_errors": 4,
"n_types": 4,
"seed": 95825700,
"thought... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "4,6,17,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[()]()()[][][([][])][]()()()()",
"error_indices": [
4,
6,
17,
24
],
"n_errors": 4,
"n_types": 2,
"seed": 86536695,
"tho... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: (()([]))()((<>))[](... | {
"game_data": {
"answer": "12,21,29",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(()([]))()((<>))[]((<>()))()",
"error_indices": [
12,
21,
29
],
"n_errors": 3,
"n_types": 4,
"seed": 17895282,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {()()}{{}}({})[](()... | {
"game_data": {
"answer": "9,18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{()()}{{}}({})[](()[])",
"error_indices": [
9,
18
],
"n_errors": 2,
"n_types": 3,
"seed": 52846992,
"thoughts": [
"Thought 1: We sho... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [[[[]]]()]
Thought ... | {
"game_data": {
"answer": "3,5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[[[]]]()]",
"error_indices": [
3,
5
],
"n_errors": 2,
"n_types": 2,
"seed": 49970435,
"thoughts": [
"Thought 1: We should process th... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,14,18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[()()]()()()[]()()[]",
"error_indices": [
3,
14,
18
],
"n_errors": 3,
"n_types": 2,
"seed": 58454242,
"thoughts": [
"Thou... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {}[[]]({})()
Though... | {
"game_data": {
"answer": "8,10,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{}[[]]({})()",
"error_indices": [
8,
10,
14
],
"n_errors": 3,
"n_types": 3,
"seed": 13215585,
"thoughts": [
"Thought 1: W... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,16,27,31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{[]<>}{}<>[[<>[<>]]][<<><>>]()",
"error_indices": [
3,
16,
27,
31
],
"n_errors": 4,
"n_types": 4,
"seed": 67673923,
"t... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ((((()))))[][[][]]
... | {
"game_data": {
"answer": "7,19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "((((()))))[][[][]]",
"error_indices": [
7,
19
],
"n_errors": 2,
"n_types": 2,
"seed": 2740140,
"thoughts": [
"Thought 1: We should p... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "6,7,9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][][][][](([()()])[])",
"error_indices": [
6,
7,
9
],
"n_errors": 3,
"n_types": 2,
"seed": 50579787,
"thoughts": [
"Though... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {}((()()){({([])}[]... | {
"game_data": {
"answer": "5,17,25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{}((()()){({([])}[])}()())",
"error_indices": [
5,
17,
25
],
"n_errors": 3,
"n_types": 4,
"seed": 42142715,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [][{{{}[]()}}[]{}]
... | {
"game_data": {
"answer": "6,7,14,16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][{{{}[]()}}[]{}]",
"error_indices": [
6,
7,
14,
16
],
"n_errors": 4,
"n_types": 3,
"seed": 96290001,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ({})()[][][]
Though... | {
"game_data": {
"answer": "4,5,6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "({})()[][][]",
"error_indices": [
4,
5,
6
],
"n_errors": 3,
"n_types": 3,
"seed": 28107358,
"thoughts": [
"Thought 1: We sh... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,5,9,15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[([][]([()][([[]]())]()))[]]",
"error_indices": [
3,
5,
9,
15
],
"n_errors": 4,
"n_types": 2,
"seed": 35186755,
"thought... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: (<<>{<>()}>{[]})[[{... | {
"game_data": {
"answer": "15,17,20,25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(<<>{<>()}>{[]})[[{()}]]()",
"error_indices": [
15,
17,
20,
25
],
"n_errors": 4,
"n_types": 4,
"seed": 99486116,
"tho... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "9,16,20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[{(){}[]<<>()>}]{}",
"error_indices": [
9,
16,
20
],
"n_errors": 3,
"n_types": 4,
"seed": 56298075,
"thoughts": [
"Though... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <>[][[([]<<<>[]>>()... | {
"game_data": {
"answer": "7,19,25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<>[][[([]<<<>[]>>())]]{}",
"error_indices": [
7,
19,
25
],
"n_errors": 3,
"n_types": 4,
"seed": 89015487,
"thoughts": [
"... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ([(()[])])[][][()][... | {
"game_data": {
"answer": "3,11,14,18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "([(()[])])[][][()][]",
"error_indices": [
3,
11,
14,
18
],
"n_errors": 4,
"n_types": 2,
"seed": 21613195,
"thoughts": ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <[]>[][[]]{<>()()}
... | {
"game_data": {
"answer": "5,9,10,15",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<[]>[][[]]{<>()()}",
"error_indices": [
5,
9,
10,
15
],
"n_errors": 4,
"n_types": 4,
"seed": 27970337,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {{}}<<{}>{}>
Though... | {
"game_data": {
"answer": "6,13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{{}}<<{}>{}>",
"error_indices": [
6,
13
],
"n_errors": 2,
"n_types": 4,
"seed": 88195675,
"thoughts": [
"Thought 1: We should proces... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "4,5,13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<>(){}<{}[<{}[{[]}][]>]>()",
"error_indices": [
4,
5,
13
],
"n_errors": 3,
"n_types": 4,
"seed": 19761047,
"thoughts": [
"... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "5,9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[{}()]()]",
"error_indices": [
5,
9
],
"n_errors": 2,
"n_types": 4,
"seed": 58078173,
"thoughts": [
"Thought 1: We should process th... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()()([([][])])[][]
... | {
"game_data": {
"answer": "3,4,9,13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()()([([][])])[][]",
"error_indices": [
3,
4,
9,
13
],
"n_errors": 4,
"n_types": 2,
"seed": 78879913,
"thoughts": [
... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "3,6,8,19,25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{}[([{([]()(){})}])]([])",
"error_indices": [
3,
6,
8,
19,
25
],
"n_errors": 5,
"n_types": 3,
"seed": 98608687,
... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "6,7,12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()[](())()[]",
"error_indices": [
6,
7,
12
],
"n_errors": 3,
"n_types": 3,
"seed": 19745383,
"thoughts": [
"Thought 1: We ... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "4,12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<([{}()(<>)]{})>[]<>",
"error_indices": [
4,
12
],
"n_errors": 2,
"n_types": 4,
"seed": 99453197,
"thoughts": [
"Thought 1: We shoul... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "5,17",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()[]()[](())[][]([[]]())",
"error_indices": [
5,
17
],
"n_errors": 2,
"n_types": 2,
"seed": 81448850,
"thoughts": [
"Thought 1: We s... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [()<{[]}><<>>[]](()... | {
"game_data": {
"answer": "3,6,7,8,16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[()<{[]}><<>>[]](())",
"error_indices": [
3,
6,
7,
8,
16
],
"n_errors": 5,
"n_types": 4,
"seed": 51337292,
"th... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [({{[]}}[]){}]
Thou... | {
"game_data": {
"answer": "11,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[({{[]}}[]){}]",
"error_indices": [
11,
14
],
"n_errors": 2,
"n_types": 3,
"seed": 84599542,
"thoughts": [
"Thought 1: We should pr... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [([]())()]
Thought ... | {
"game_data": {
"answer": "6,10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[([]())()]",
"error_indices": [
6,
10
],
"n_errors": 2,
"n_types": 3,
"seed": 25619944,
"thoughts": [
"Thought 1: We should process ... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "10,22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[()][[{}]][][{}][[{()}]{}]",
"error_indices": [
10,
22
],
"n_errors": 2,
"n_types": 3,
"seed": 37990507,
"thoughts": [
"Thought 1: ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {<[[({}[]{<()>})[]]... | {
"game_data": {
"answer": "15,20,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{<[[({}[]{<()>})[]]<>]>[]}",
"error_indices": [
15,
20,
24
],
"n_errors": 3,
"n_types": 4,
"seed": 87695428,
"thoughts": [
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [[(())]][(())][()][... | {
"game_data": {
"answer": "5,17,21,25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[(())]][(())][()][]([]())",
"error_indices": [
5,
17,
21,
25
],
"n_errors": 4,
"n_types": 2,
"seed": 21224302,
"thoug... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {[]}{<>()}
Thought ... | {
"game_data": {
"answer": "7,11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{[]}{<>()}",
"error_indices": [
7,
11
],
"n_errors": 2,
"n_types": 4,
"seed": 55643000,
"thoughts": [
"Thought 1: We should process ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()([[]])[][](){<{}>... | {
"game_data": {
"answer": "6,15,18,21,23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()([[]])[][](){<{}>()}",
"error_indices": [
6,
15,
18,
21,
23
],
"n_errors": 5,
"n_types": 4,
"seed": 36730736,
... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "5,11,15,17,22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{[][{[{}{[]}]{}}]}[]",
"error_indices": [
5,
11,
15,
17,
22
],
"n_errors": 5,
"n_types": 3,
"seed": 5003526,
... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [][({[[]{}([[]][])]... | {
"game_data": {
"answer": "9,17,18,28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][({[[]{}([[]][])]()})][]",
"error_indices": [
9,
17,
18,
28
],
"n_errors": 4,
"n_types": 3,
"seed": 39905831,
"thoug... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "15,17,19,20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][[][][]][][][]()",
"error_indices": [
15,
17,
19,
20
],
"n_errors": 4,
"n_types": 2,
"seed": 68300826,
"thoughts": ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {()}([]{}[]())
Thou... | {
"game_data": {
"answer": "7,13,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{()}([]{}[]())",
"error_indices": [
7,
13,
14
],
"n_errors": 3,
"n_types": 3,
"seed": 74695944,
"thoughts": [
"Thought 1:... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {[<[]<>>]}[]
Though... | {
"game_data": {
"answer": "10,13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{[<[]<>>]}[]",
"error_indices": [
10,
13
],
"n_errors": 2,
"n_types": 4,
"seed": 43685821,
"thoughts": [
"Thought 1: We should proc... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {([][()[{{}}]])}{[]... | {
"game_data": {
"answer": "8,15,21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{([][()[{{}}]])}{[]}",
"error_indices": [
8,
15,
21
],
"n_errors": 3,
"n_types": 3,
"seed": 72467571,
"thoughts": [
"Thou... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: <[]{<(({[<>{}]}[]))... | {
"game_data": {
"answer": "8,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<[]{<(({[<>{}]}[]))[]>}{}>",
"error_indices": [
8,
14
],
"n_errors": 2,
"n_types": 4,
"seed": 33617814,
"thoughts": [
"Thought 1: We... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "4,6,7,19,22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "<>[]()<<()({}<>)>()>",
"error_indices": [
4,
6,
7,
19,
22
],
"n_errors": 5,
"n_types": 4,
"seed": 64578533,
"... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: ()([][])[]
Thought ... | {
"game_data": {
"answer": "5,12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "()([][])[]",
"error_indices": [
5,
12
],
"n_errors": 2,
"n_types": 2,
"seed": 56880404,
"thoughts": [
"Thought 1: We should process ... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "7,17,23,24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "(([<>][]()))()()<<>[]>",
"error_indices": [
7,
17,
23,
24
],
"n_errors": 4,
"n_types": 4,
"seed": 3875197,
"thoughts":... |
logic-v2 | You are an expert in Dyck language, where you must complete bracket sequences (e.g., [], {}, <>). You need to analyze whether the bracket matching steps are correct according to Dyck language rules.
Given an initial Dyck language sequence and steps for deriving the closing bracket sequence (given in the form of a thou... | {
"game_data": {
"answer": "7,9,14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[(()[]())][]",
"error_indices": [
7,
9,
14
],
"n_errors": 3,
"n_types": 2,
"seed": 85804324,
"thoughts": [
"Thought 1: We ... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [][{}][()()]
Though... | {
"game_data": {
"answer": "3,5,8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[][{}][()()]",
"error_indices": [
3,
5,
8
],
"n_errors": 3,
"n_types": 3,
"seed": 77268564,
"thoughts": [
"Thought 1: We sh... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: [[{{}{}[]}][[()]]][... | {
"game_data": {
"answer": "7,20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "[[{{}{}[]}][[()]]][]",
"error_indices": [
7,
20
],
"n_errors": 2,
"n_types": 3,
"seed": 18462344,
"thoughts": [
"Thought 1: We shoul... |
logic-v2 | As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.
A Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.
Sequence: {}[{[]({}[]((())[])... | {
"game_data": {
"answer": "16,18,20,26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"dyck_sequence": "{}[{[]({}[]((())[]))()}]{}",
"error_indices": [
16,
18,
20,
26
],
"n_errors": 4,
"n_types": 3,
"seed": 79592465,
"tho... |
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