conversation listlengths 2 2 | seed int64 905 100M | task_id int64 905 100M | task_metadata dict | task_type stringclasses 1
value | usage null |
|---|---|---|---|---|---|
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only th... | 39,552,413 | 39,552,413 | {
"closing_sequence": "))))))))))))))))",
"fill_length": 16,
"full_sequence": "((()(((((((((((((())))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()((((((((((((((",
"seed": 39552413,
"total_length": 34,
"trace_id": "44abf61d-5d71-404f-8efe-313016cd4ebe"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()()(()()()())))((((()(((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nPr... | 21,907,596 | 21,907,596 | {
"closing_sequence": ")))))))))))",
"fill_length": 11,
"full_sequence": "((()()(()()()())))((((()((((((()))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()()(()()()())))((((()(((((((",
"seed": 21907596,
"total_length": 42,
"trace_id": "a7d1de1f-6a71-4b26-9fdb-bfa392f31d5d"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()((()))(((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the com... | 47,066,419 | 47,066,419 | {
"closing_sequence": ")))",
"fill_length": 3,
"full_sequence": "()()((()))((()))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()((()))(((",
"seed": 47066419,
"total_length": 16,
"trace_id": "5edb04f7-bafe-488b-8c3b-8afe1d0da721"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((())()))((((()(((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only... | 29,601,958 | 29,601,958 | {
"closing_sequence": ")))))))))",
"fill_length": 9,
"full_sequence": "(((())()))((((()((((()))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((())()))((((()(((((",
"seed": 29601958,
"total_length": 30,
"trace_id": "b3dcbec6-aa30-477e-9928-bcdd5ff13516"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete vali... | 18,172,866 | 18,172,866 | {
"closing_sequence": ")))",
"fill_length": 3,
"full_sequence": "((()))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((",
"seed": 18172866,
"total_length": 6,
"trace_id": "208de883-661b-43c0-ac49-6778f4a8a2a1"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(())(())((()))((())(()(((()))())))(((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond wh... | 56,141,872 | 56,141,872 | {
"closing_sequence": ")))))))))))))",
"fill_length": 13,
"full_sequence": "()()(())(())((()))((())(()(((()))())))((((((((((((()))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(())(())((()))((())(()(((()))())))(((((((((((((",
"seed": 56141872,
"total_length": 64,
"trace_id":... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete va... | 89,254,034 | 89,254,034 | {
"closing_sequence": ")))))",
"fill_length": 5,
"full_sequence": "((((()))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((",
"seed": 89254034,
"total_length": 10,
"trace_id": "ddd2abc2-f0a8-4f3b-8f02-028bb4de9e7a"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())(((((()((()()))((())(((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\n... | 36,023,137 | 36,023,137 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "(())(((((()((()()))((())((((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())(((((()((()()))((())(((((((((",
"seed": 36023137,
"total_length": 48,
"trace_id": "13c5be2a-f2b6-4ccb-a0d8-1a0ec9... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete valid... | 95,093,836 | 95,093,836 | {
"closing_sequence": "))",
"fill_length": 2,
"full_sequence": "(())",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((",
"seed": 95093836,
"total_length": 4,
"trace_id": "66d9f1a7-a99a-4b84-8b13-ddbe4a9dfc47"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((()(((((()()((()(()((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is require... | 59,086,329 | 59,086,329 | {
"closing_sequence": "))))))))))))))))))))))))))))",
"fill_length": 28,
"full_sequence": "((((()(((((()()((()(()(((((((((((((((())))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((()(((((()()((()(()((((((((((((((((",
"seed": 59086329,
"total_length": 66,
"trace_... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((((()()(())()((()()(((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required... | 57,472,947 | 57,472,947 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "(()(((((()()(())()((()()((((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((((()()(())()((()()(((((((((((((",
"seed": 57472947,
"total_length": 58,
"trace_id": "d86e49bb-2... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())(((((()()())))())(((())(())()((())((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is r... | 95,812,113 | 95,812,113 | {
"closing_sequence": "))))))))))",
"fill_length": 10,
"full_sequence": "(())(((((()()())))())(((())(())()((())(((((())))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())(((((()()())))())(((())(())()((())((((((",
"seed": 95812113,
"total_length": 54,
"trace_id": "0c7cfbc6-f03a-4013... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()((()(()(())((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n... | 15,558,032 | 15,558,032 | {
"closing_sequence": ")))))))))))))))))))))))))",
"fill_length": 25,
"full_sequence": "((()((()(()(())(((((((((((((((((((()))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()((()(()(())((((((((((((((((((((",
"seed": 15558032,
"total_length": 60,
"trace_id": "857f88... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete... | 87,720,048 | 87,720,048 | {
"closing_sequence": "))))))",
"fill_length": 6,
"full_sequence": "(()((((())))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((((",
"seed": 87720048,
"total_length": 14,
"trace_id": "ef38c1d4-0bfb-4a68-a0ed-3dc5f7dd1a66"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((())()((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only th... | 42,409,045 | 42,409,045 | {
"closing_sequence": "))))))))))))",
"fill_length": 12,
"full_sequence": "(((())()(((((((((())))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((())()((((((((((",
"seed": 42409045,
"total_length": 30,
"trace_id": "44e54f84-23df-4046-9f7e-493bd1fbe649"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())(((((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvid... | 82,215,727 | 82,215,727 | {
"closing_sequence": ")))))))))))))))))))))))",
"fill_length": 23,
"full_sequence": "(())((((((((((((((((((((((()))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())(((((((((((((((((((((((",
"seed": 82215727,
"total_length": 50,
"trace_id": "0b430ccc-68f3-40dc-87bb-39... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()((((())()(((()(()())((())))()(())((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is re... | 11,795,904 | 11,795,904 | {
"closing_sequence": ")))))))))))",
"fill_length": 11,
"full_sequence": "()()((((())()(((()(()())((())))()(())(((((()))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()((((())()(((()(()())((())))()(())((((((",
"seed": 11795904,
"total_length": 54,
"trace_id": "c18eb87b-66ea-429a... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()(()(((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the comp... | 83,920,425 | 83,920,425 | {
"closing_sequence": "))))))))",
"fill_length": 8,
"full_sequence": "((()(()((((())))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()(()(((((",
"seed": 83920425,
"total_length": 20,
"trace_id": "188ea63a-b9d8-4bdd-80e4-6687b37c69ea"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(()(()((()()((()(()()((()((((()))(((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond... | 78,021,273 | 78,021,273 | {
"closing_sequence": "))))))))))))))))))))))))))))))",
"fill_length": 30,
"full_sequence": "()(()(()((()()((()(()()((()((((()))((((((((((((((((((())))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(()(()((()()((()(()()((()((((()))(((((((((((((((((((",
"seed": 78021... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()))((((())((((())(((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvid... | 99,100,126 | 99,100,126 | {
"closing_sequence": ")))))))))))))",
"fill_length": 13,
"full_sequence": "((()))((((())((((())((((((()))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()))((((())((((())(((((((",
"seed": 99100126,
"total_length": 40,
"trace_id": "46a53656-f8a1-41fe-b030-7570507065ec"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(())(()((()())(()))())(((()()()()((((()()())(((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyon... | 67,711,414 | 67,711,414 | {
"closing_sequence": ")))))))))))))",
"fill_length": 13,
"full_sequence": "()()(())(()((()())(()))())(((()()()()((((()()())((((((()))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(())(()((()())(()))())(((()()()()((((()()())(((((((",
"seed": 67711414,
"total_length": 68,
"tr... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(()(((((()()()((()(()(((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\... | 8,943,496 | 8,943,496 | {
"closing_sequence": "))))))))))))))))))))))",
"fill_length": 22,
"full_sequence": "()(()(((((()()()((()(()((((((((((((())))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(()(((((()()()((()(()(((((((((((((",
"seed": 8943496,
"total_length": 58,
"trace_id": "27c5aa76-d2... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the comple... | 81,096,356 | 81,096,356 | {
"closing_sequence": "))))))))))",
"fill_length": 10,
"full_sequence": "(((((((((())))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((((((",
"seed": 81096356,
"total_length": 20,
"trace_id": "34c04ca1-0ecc-4a6f-86d3-7489d95ca65f"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())(()()(((())(((()((())))(()(())(()(()(()())))(((())()())((())()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any ext... | 92,660,617 | 92,660,617 | {
"closing_sequence": ")))))))))))))))))))",
"fill_length": 19,
"full_sequence": "(())(()()(((())(((()((())))(()(())(()(()(()())))(((())()())((())()((((((((((()))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())(()()(((())(((()((())))(()(())(()(()(()())))(((())()())((())()(((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()()()()((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide onl... | 14,043,747 | 14,043,747 | {
"closing_sequence": "))))))))))))",
"fill_length": 12,
"full_sequence": "()()()()()(((((((((((())))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()()()()((((((((((((",
"seed": 14043747,
"total_length": 34,
"trace_id": "f49bd943-5b98-459a-90d6-b5f98e759a38"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the co... | 98,470,597 | 98,470,597 | {
"closing_sequence": "))))))))))))))",
"fill_length": 14,
"full_sequence": "(((((((((((((())))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((((((((((",
"seed": 98470597,
"total_length": 28,
"trace_id": "7945f5ab-3632-421f-9c45-c3d5e0f17ba9"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((())((((((())(((()()()(((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is r... | 50,642,522 | 50,642,522 | {
"closing_sequence": "))))))))))))))))))))))))))))))",
"fill_length": 30,
"full_sequence": "((())((((((())(((()()()((((((((((((((((((((())))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((())((((((())(((()()()(((((((((((((((((((((",
"seed": 50642522,
"total_length... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((())())(((())(()(((((((()(())()(()())((()((())())()((()(((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bra... | 4,230,296 | 4,230,296 | {
"closing_sequence": ")))))))))))))))))))))))))))))",
"fill_length": 29,
"full_sequence": "((())())(((())(()(((((((()(())()(()())((()((())())()((()((((((((((((((()))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((())())(((())(()(((((((()(())()(()())((()((())())()((()(... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((())()())(()((((()(()(((()())()()()(((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond wh... | 34,644,357 | 34,644,357 | {
"closing_sequence": ")))))))))))))))))))))))",
"fill_length": 23,
"full_sequence": "((())()())(()((((()(()(((()())()()()((((((((((((((()))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((())()())(()((((()(()(((()())()()()(((((((((((((((",
"seed": 34644357,
"total_length... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(((()((()()(()(((((((()((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is requ... | 83,485,121 | 83,485,121 | {
"closing_sequence": ")))))))))))))))))))))))))))))",
"fill_length": 29,
"full_sequence": "()(((()((()()(()(((((((()(((((((((((((((()))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(((()((()()(()(((((((()((((((((((((((((",
"seed": 83485121,
"total_length": 70,
... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((())((()((()(())())((()(())()(()(()(((()()(((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pa... | 39,424,170 | 39,424,170 | {
"closing_sequence": "))))))))))))))))))))))))))))))))",
"fill_length": 32,
"full_sequence": "((((((())((()((()(())())((()(())()(()(()(((()()((((((((((((((((())))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((())((()((()(())())((()(())()(()(()(((()()(((((((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()()()(())(()()((((()(((((()))()()))(((()))((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond ... | 74,939,829 | 74,939,829 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "()()()()(())(()()((((()(((((()))()()))(((()))(((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()()()(())(()()((((()(((((()))()()))(((()))((((((((",
"seed": 74939829,
"total_length": 68,
"tr... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()(((()((((((((()((((((((((((((((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond ... | 53,503,186 | 53,503,186 | {
"closing_sequence": ")))))))))))))))))))))))))))))))))))))))))))))))",
"fill_length": 47,
"full_sequence": "((()(((()((((((((()(((((((((((((((((((((((((((((((((()))))))))))))))))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()(((()((((((((()((((((((((((((((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(()((((((()()(()(()()()()))()(()(()()(()))((())((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket... | 84,284,632 | 84,284,632 | {
"closing_sequence": ")))))))))))))))))))))))))))",
"fill_length": 27,
"full_sequence": "()(()((((((()()(()(()()()()))()(()(()()(()))((())(((((((((((((((((()))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(()((((((()()(()(()()()()))()(()(()()(()))((())((((((((((((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()()()()(()))((()(()(((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvi... | 46,162,591 | 46,162,591 | {
"closing_sequence": "))))))))))",
"fill_length": 10,
"full_sequence": "(()()()()(()))((()(()((((((())))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()()()()(()))((()(()(((((((",
"seed": 46162591,
"total_length": 38,
"trace_id": "53445326-73a6-4bfe-9ecd-f0e14c2da9c5"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())((()(((()(((((((()(((()))(((((()))())()))(()(()((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket... | 99,655,497 | 99,655,497 | {
"closing_sequence": ")))))))))))))))))))))))))))))))",
"fill_length": 31,
"full_sequence": "(())((()(((()(((((((()(((()))(((((()))())()))(()(()(((((((((((((((()))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())((()(((()(((((((()(((()))(((((()))())()))(()(()((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((()()()(((((())()(())(((()((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond wha... | 13,672,804 | 13,672,804 | {
"closing_sequence": "))))))))))))))))))))))))))))))))",
"fill_length": 32,
"full_sequence": "(((((((()()()(((((())()(())(((()(((((((((((((((((())))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((()()()(((((())()(())(((()((((((((((((((((((",
"seed": 13672804,... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((((((((())(()(((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is requi... | 54,199,329 | 54,199,329 | {
"closing_sequence": "))))))))))))))))))))))))))))))))))",
"fill_length": 34,
"full_sequence": "(((((((((((((())(()((((((((((((((((((((())))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((((((((())(()(((((((((((((((((((((",
"seed": 54199329,
"total_length... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete valid ... | 39,570,900 | 39,570,900 | {
"closing_sequence": ")",
"fill_length": 1,
"full_sequence": "()",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(",
"seed": 39570900,
"total_length": 2,
"trace_id": "973c386c-8a6b-4e99-9000-b371865f9ba1"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()()(()))()((((((((()()(()((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is requir... | 36,147,080 | 36,147,080 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "(()()(()))()((((((((()()(()(((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()()(()))()((((((((()()(()((((((((((((",
"seed": 36147080,
"total_length": 60,
"trace_id": "41c5f6... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the co... | 95,610,255 | 95,610,255 | {
"closing_sequence": "))))))))))))))",
"fill_length": 14,
"full_sequence": "(((((((((((((())))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((((((((((",
"seed": 95610255,
"total_length": 28,
"trace_id": "370c98eb-6efe-4132-b04e-406e1d0dd0e2"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(()(((()((()(((()(()()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n... | 23,744,004 | 23,744,004 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "()(()(((()((()(((()(()()((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(()(((()((()(((()(()()(((((((((((",
"seed": 23744004,
"total_length": 56,
"trace_id": "f9e73877-a20f-... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()((((((()((((())()(()((((()))()(()(((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs be... | 26,482,058 | 26,482,058 | {
"closing_sequence": "))))))))))))))))))))))))))))))))))))",
"fill_length": 36,
"full_sequence": "((()((((((()((((())()(()((((()))()(()((((((((((((((((((((())))))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()((((((()((((())()(()((((()))()(()(((((((((((((((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((((((())((((()(()((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is require... | 11,053,421 | 11,053,421 | {
"closing_sequence": "))))))))))))))))))))))))))))",
"fill_length": 28,
"full_sequence": "(()(((((((())((((()(()(((((((((((((((())))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((((((())((((()(()((((((((((((((((",
"seed": 11053421,
"total_length": 66,
"trace_... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()((())((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the ... | 61,533,372 | 61,533,372 | {
"closing_sequence": "))))))))))",
"fill_length": 10,
"full_sequence": "(()((())(((((((())))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()((())((((((((",
"seed": 61533372,
"total_length": 26,
"trace_id": "9af0897a-fe31-4a3c-a804-a8b3e3af221d"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()())(((((((((()((())(()(((((())(((()((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs b... | 72,177,087 | 72,177,087 | {
"closing_sequence": ")))))))))))))))))))))))))))))))))))))))",
"fill_length": 39,
"full_sequence": "((()())(((((((((()((())(()(((((())(((()(((((((((((((((((((()))))))))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()())(((((((((()((())(()(((((())(((()((((((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((())((())))((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the ... | 61,598,719 | 61,598,719 | {
"closing_sequence": "))))",
"fill_length": 4,
"full_sequence": "((())((())))(((())))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((())((())))((((",
"seed": 61598719,
"total_length": 20,
"trace_id": "1bf0dac5-d51e-4fff-a4e1-a6b728843664"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((())((()(()(((((((())(()(()())))()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what i... | 79,168,683 | 79,168,683 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "(((())((()(()(((((((())(()(()())))()((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((())((()(()(((((((())(()(()())))()(((((((((((",
"seed": 79168683,
"total_length": 68,
"tr... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())()(((()()(((()(((((()(()()()(()()(((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyo... | 7,498,957 | 7,498,957 | {
"closing_sequence": "))))))))))))))))))))))))))))))))",
"fill_length": 32,
"full_sequence": "(())()(((()()(((()(((((()(()()()(()()((((((((((((((((((())))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())()(((()()(((()(((((()(()()()(()()(((((((((((((((((((",
"seed... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(((((())(())())()(((()())(()(()()((()((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond wh... | 79,140,783 | 79,140,783 | {
"closing_sequence": ")))))))))))))))))))",
"fill_length": 19,
"full_sequence": "()()(((((())(())())()(((()())(()(()()((()(((((((((()))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(((((())(())())()(((()())(()(()()((()((((((((((",
"seed": 79140783,
"total_length": 70,
... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((((()((()((()(()((())((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is ... | 42,936,281 | 42,936,281 | {
"closing_sequence": ")))))))))))))))))))))))))))))))))",
"fill_length": 33,
"full_sequence": "(((((((((()((()((()(()((())(((((((((((((((((()))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((((()((()((()(()((())((((((((((((((((((",
"seed": 42936281,
"tota... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())()()()()((((((()))()(((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is requir... | 37,665,936 | 37,665,936 | {
"closing_sequence": ")))))))))))))))))))",
"fill_length": 19,
"full_sequence": "(())()()()()((((((()))()((((((((((((((()))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())()()()()((((((()))()(((((((((((((((",
"seed": 37665936,
"total_length": 58,
"trace_id": "760ca040-c... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(()((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complet... | 67,423,568 | 67,423,568 | {
"closing_sequence": ")))",
"fill_length": 3,
"full_sequence": "()()(()(()))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(()((",
"seed": 67423568,
"total_length": 12,
"trace_id": "a7f8f576-ad41-4572-9772-463a04f2367f"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(()())(()((((()((((((()()()()(((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond wha... | 23,344,251 | 23,344,251 | {
"closing_sequence": "))))))))))))))))))))))))))))",
"fill_length": 28,
"full_sequence": "()()(()())(()((((()((((((()()()()((((((((((((((((())))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(()())(()((((()((((((()()()()(((((((((((((((((",
"seed": 23344251,
"tota... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()((()(()(()()))))))()(()(((((())))(((((()(()((()())(()(()((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra ... | 64,999,971 | 64,999,971 | {
"closing_sequence": "))))))))))))))))))))))))))",
"fill_length": 26,
"full_sequence": "((()((()(()(()()))))))()(()(((((())))(((((()(()((()())(()(()(((((((((((((())))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()((()(()(()()))))))()(()(((((())))(((((()(()((()())(()(()... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the compl... | 87,159,516 | 87,159,516 | {
"closing_sequence": ")))))))))",
"fill_length": 9,
"full_sequence": "()((((((((()))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(((((((((",
"seed": 87159516,
"total_length": 20,
"trace_id": "ccd34250-190b-48f4-b5f3-a91228d3c8ab"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(((()((((()(()((()))))(()((((()((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what i... | 37,752,859 | 37,752,859 | {
"closing_sequence": ")))))))))))))))))))))))))",
"fill_length": 25,
"full_sequence": "()(((()((((()(()((()))))(()((((()(((((((((((((()))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(((()((((()(()((()))))(()((((()((((((((((((((",
"seed": 37752859,
"total_length": 7... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())((()))(()((())((((((((()()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is requ... | 46,689,456 | 46,689,456 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "(())((()))(()((())((((((((()()((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())((()))(()((())((((((((()()(((((((((((",
"seed": 46689456,
"total_length": 62,
"trace_id": "da... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((()())(()((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProv... | 76,423,334 | 76,423,334 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "(((((((()())(()(((((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((()())(()((((((((((((((",
"seed": 76423334,
"total_length": 50,
"trace_id": "4256a201-2394-4e02-a0c2-a3... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()()()(((()()()())((()()((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nPr... | 71,591,357 | 71,591,357 | {
"closing_sequence": ")))))))))))",
"fill_length": 11,
"full_sequence": "(()()()(((()()()())((()()(((((()))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()()()(((()()()())((()()((((((",
"seed": 71591357,
"total_length": 42,
"trace_id": "b87e43c3-16d0-4fb3-8edc-254d3003c021"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((())())()()()((((((())()))()((())(()((()()(())()((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs bey... | 64,901,080 | 64,901,080 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "((())())()()()((((((())()))()((())(()((()()(())()(((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((())())()()()((((((())()))()((())(()((()()(())()((((((((",
"seed": 64901080,
"total_length": 7... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((()((((()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide ... | 863,037 | 863,037 | {
"closing_sequence": ")))))))))))))))))))",
"fill_length": 19,
"full_sequence": "(()(((()((((()((((((((((()))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((()((((()(((((((((((",
"seed": 863037,
"total_length": 44,
"trace_id": "b7489ab7-c4f8-4a69-a1b5-debe8a395966"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((((((((((()((((()(((((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is... | 99,999,124 | 99,999,124 | {
"closing_sequence": "))))))))))))))))))))))))))))))))))))))))))",
"fill_length": 42,
"full_sequence": "(((((((((((((((()((((()((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((((((((((()((((()(((((((((((((((((((((((",
"seed... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()((()()(((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the com... | 80,431,019 | 80,431,019 | {
"closing_sequence": ")))))))",
"fill_length": 7,
"full_sequence": "()((()()((((()))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()((()()(((((",
"seed": 80431019,
"total_length": 20,
"trace_id": "1da37697-750f-4102-8b72-c355cc550b95"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(()((((()())))()()()))(()))(((())((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is r... | 27,622,764 | 27,622,764 | {
"closing_sequence": "))))))))))",
"fill_length": 10,
"full_sequence": "(()(()((((()())))()()()))(()))(((())(((((((())))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(()((((()())))()()()))(()))(((())((((((((",
"seed": 27622764,
"total_length": 54,
"trace_id": "e4341a2a-f3aa-4851... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(((()(()()((()()))))((()()()(()(())((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is re... | 25,915,640 | 25,915,640 | {
"closing_sequence": ")))))))))))",
"fill_length": 11,
"full_sequence": "()(((()(()()((()()))))((()()()(()(())(((((()))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(((()(()()((()()))))((()()()(()(())((((((",
"seed": 25915640,
"total_length": 54,
"trace_id": "da373425-1fca-44a6... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((()(((((((((((((()(((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is r... | 81,030,070 | 81,030,070 | {
"closing_sequence": "))))))))))))))))))))))))))))))))))))))))",
"fill_length": 40,
"full_sequence": "((((((()(((((((((((((()((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((()(((((((((((((()(((((((((((((((((((((",
"seed": 81030... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()()(()))()()()()((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nP... | 3,286,631 | 3,286,631 | {
"closing_sequence": "))))))))))))))",
"fill_length": 14,
"full_sequence": "(()()(()))()()()()(((((((((((((())))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()()(()))()()()()((((((((((((((",
"seed": 3286631,
"total_length": 46,
"trace_id": "ee5661a6-cb23-4050-b843-05dcad540b4... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()((((()(((((((()(((((()((()()(((((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond ... | 77,412,836 | 77,412,836 | {
"closing_sequence": ")))))))))))))))))))))))))))))))))))))))))",
"fill_length": 41,
"full_sequence": "()((((()(((((((()(((((()((()()((((((((((((((((((((((()))))))))))))))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()((((()(((((((()(((((()((()()(((((((((((((((((((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete ... | 62,859,578 | 62,859,578 | {
"closing_sequence": ")))",
"fill_length": 3,
"full_sequence": "()()((()))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(((",
"seed": 62859578,
"total_length": 10,
"trace_id": "64329304-aeb8-488b-a329-b887682a83a4"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((()((((((()((()))(((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\n... | 68,206,747 | 68,206,747 | {
"closing_sequence": ")))))))))))))))))))))))",
"fill_length": 23,
"full_sequence": "((((()((((((()((()))((((((((((((()))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((()((((((()((()))(((((((((((((",
"seed": 68206747,
"total_length": 56,
"trace_id": "47fb118a-983f-... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(((())()(((()(()())()()(((()())((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is ... | 99,263,363 | 99,263,363 | {
"closing_sequence": ")))))))))))))))))))",
"fill_length": 19,
"full_sequence": "()(((())()(((()(()())()()(((()())(((((((((((()))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(((())()(((()(()())()()(((()())((((((((((((",
"seed": 99263363,
"total_length": 64,
"trace_id":... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(())((((())()())((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide on... | 67,902,911 | 67,902,911 | {
"closing_sequence": ")))))))",
"fill_length": 7,
"full_sequence": "(()(())((((())()())(((()))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(())((((())()())((((",
"seed": 67902911,
"total_length": 30,
"trace_id": "6929a67f-562e-4bd7-897f-0b272a706d7c"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()((()))()(((()))(((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only ... | 20,465,107 | 20,465,107 | {
"closing_sequence": "))))",
"fill_length": 4,
"full_sequence": "()((()))()(((()))((())))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()((()))()(((()))(((",
"seed": 20465107,
"total_length": 24,
"trace_id": "302b9fb2-a62c-425e-aa9c-e017db6fcf0f"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())((())(()()(()((())()))))((()))()()()((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs be... | 41,365,986 | 41,365,986 | {
"closing_sequence": "))))))))))))))))))",
"fill_length": 18,
"full_sequence": "(())((())(()()(()((())()))))((()))()()()(((((((((((((((((())))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())((())(()()(()((())()))))((()))()()()((((((((((((((((((",
"seed": 41365986,
"total_le... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()()((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only th... | 94,911,134 | 94,911,134 | {
"closing_sequence": "))))))))))))",
"fill_length": 12,
"full_sequence": "()()()(((((((((((())))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()()((((((((((((",
"seed": 94911134,
"total_length": 30,
"trace_id": "b7fee158-c5fe-45b8-b960-ac5b6990c424"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(()(()(())(()(((((((((()))((()(((())))()(())((())()(((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra brac... | 16,853,771 | 16,853,771 | {
"closing_sequence": "))))))))))))))))))))))))))))",
"fill_length": 28,
"full_sequence": "()()(()(()(())(()(((((((((()))((()(((())))()(())((())()((((((((((((((())))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(()(()(())(()(((((((((()))((()(((())))()(())((())()(((((... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(()((()))(((()((((((())))(((()(()()))(((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond w... | 41,712,195 | 41,712,195 | {
"closing_sequence": "))))))))))))))))))))))",
"fill_length": 22,
"full_sequence": "()(()((()))(((()((((((())))(((()(()()))((((((((((((())))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(()((()))(((()((((((())))(((()(()()))(((((((((((((",
"seed": 41712195,
"total_length... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()((((((()))()))(((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide on... | 9,638,196 | 9,638,196 | {
"closing_sequence": ")))))))",
"fill_length": 7,
"full_sequence": "()()((((((()))()))((((()))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()((((((()))()))(((((",
"seed": 9638196,
"total_length": 30,
"trace_id": "ef1f968a-f137-472e-891c-ee9ee02b0b0b"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(()(()))())(()()(()())()((())))()()()((((((()()(((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs b... | 85,273,100 | 85,273,100 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "(()(()(()))())(()()(()())()((())))()()()((((((()()((((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(()(()))())(()()(()())()((())))()()()((((((()()(((((((((",
"seed": 85273100,
"total_length... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the c... | 45,867,185 | 45,867,185 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "((((((((((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((((((((((",
"seed": 45867185,
"total_length": 30,
"trace_id": "58f0d13c-3e4b-456b-b464-06226cd10f9b"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete v... | 55,411,195 | 55,411,195 | {
"closing_sequence": "))))",
"fill_length": 4,
"full_sequence": "(()((())))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((",
"seed": 55411195,
"total_length": 10,
"trace_id": "df4c4d28-c433-4f7c-b97c-6bcd5f73b165"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())(((())(()(((()()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nPr... | 46,890,790 | 46,890,790 | {
"closing_sequence": ")))))))))))))))))",
"fill_length": 17,
"full_sequence": "(())(((())(()(((()()((((((((((()))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())(((())(()(((()()(((((((((((",
"seed": 46890790,
"total_length": 48,
"trace_id": "38f496bf-5968-4360-adcc-d6f994... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()()(((()((((())((()(()((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n... | 96,971,970 | 96,971,970 | {
"closing_sequence": ")))))))))))))))))))))",
"fill_length": 21,
"full_sequence": "()()(((()((((())((()(()(((((((((((()))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()()(((()((((())((()(()((((((((((((",
"seed": 96971970,
"total_length": 56,
"trace_id": "7e92af98-0de0-... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((())()(()(()))(()((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\n... | 77,328,419 | 77,328,419 | {
"closing_sequence": ")))))))))))))))))",
"fill_length": 17,
"full_sequence": "(((((((())()(()(()))(()(((((((((()))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((())()(()(()))(()((((((((((",
"seed": 77328419,
"total_length": 50,
"trace_id": "5fd9ba93-0e0e-44dc-880b-91... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete v... | 83,060,853 | 83,060,853 | {
"closing_sequence": "))))))",
"fill_length": 6,
"full_sequence": "(((((())))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((",
"seed": 83060853,
"total_length": 12,
"trace_id": "20bd6027-2014-4eb3-a579-edcd76da47fb"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((((((((((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvi... | 66,382,250 | 66,382,250 | {
"closing_sequence": "))))))))))))))))))))))))))))",
"fill_length": 28,
"full_sequence": "(((((((((((((((((((((((((((())))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((((((((((((((((((((((((((",
"seed": 66382250,
"total_length": 56,
"trace_id": "caeddf04-19b1-... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complet... | 38,415,684 | 38,415,684 | {
"closing_sequence": ")))))))))",
"fill_length": 9,
"full_sequence": "((((((((()))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((((((((",
"seed": 38415684,
"total_length": 18,
"trace_id": "d943181f-29be-4557-9072-b0841eedfbdf"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((()(((((()))((((()(()((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is req... | 46,858,062 | 46,858,062 | {
"closing_sequence": "))))))))))))))))))))))))))))",
"fill_length": 28,
"full_sequence": "(()(((()(((((()))((((()(()(((((((((((((((())))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((()(((((()))((((()(()((((((((((((((((",
"seed": 46858062,
"total_length": 70,
... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()((((((((((((()()((()((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is require... | 17,468,483 | 17,468,483 | {
"closing_sequence": "))))))))))))))))))))))))))))))",
"fill_length": 30,
"full_sequence": "()((((((((((((()()((()(((((((((((((((())))))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()((((((((((((()()((()((((((((((((((((",
"seed": 17468483,
"total_length": 68,
"tr... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete vali... | 41,259,215 | 41,259,215 | {
"closing_sequence": ")))",
"fill_length": 3,
"full_sequence": "((()))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((",
"seed": 41259215,
"total_length": 6,
"trace_id": "f65ee396-c3e0-406a-98c5-f62f52d304aa"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()((()()(()))(()()))()()()(((())((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is requi... | 95,127,903 | 95,127,903 | {
"closing_sequence": "))))))))))",
"fill_length": 10,
"full_sequence": "()((()()(()))(()()))()()()(((())(((((((())))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()((()()(()))(()()))()()()(((())((((((((",
"seed": 95127903,
"total_length": 50,
"trace_id": "590e08d0-f180-4217-bba0-eb... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the complete vali... | 30,330,707 | 30,330,707 | {
"closing_sequence": ")))",
"fill_length": 3,
"full_sequence": "((()))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(((",
"seed": 30330707,
"total_length": 6,
"trace_id": "24660ba5-f33e-46b9-8776-285b8aa96800"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()))()()()(()(((()))((()()))))((()(((((()()((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond ... | 16,537,408 | 16,537,408 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "((()))()()()(()(((()))((()()))))((()(((((()()(((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()))()()()(()(((()))((()()))))((()(((((()()((((((((",
"seed": 16537408,
"total_length": 68,
"tr... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((((()()(()()()()((()()()((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\n... | 55,127,910 | 55,127,910 | {
"closing_sequence": ")))))))))))))))",
"fill_length": 15,
"full_sequence": "((((()()(()()()()((()()()(((((((()))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((((()()(()()()()((()()()((((((((",
"seed": 55127910,
"total_length": 48,
"trace_id": "f7457f19-6875-4750-a3ed-48a57a... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()((((((((()()(((((((((((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\n... | 47,190,531 | 47,190,531 | {
"closing_sequence": ")))))))))))))))))))))))))))",
"fill_length": 27,
"full_sequence": "()((((((((()()((((((((((((((((((()))))))))))))))))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()((((((((()()(((((((((((((((((((",
"seed": 47190531,
"total_length": 60,
"trace_id": "b96bde... | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (()(((())(((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the co... | 42,204,152 | 42,204,152 | {
"closing_sequence": "))))))))",
"fill_length": 8,
"full_sequence": "(()(((())((((())))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(()(((())(((((",
"seed": 42204152,
"total_length": 22,
"trace_id": "ead80e60-f7ac-4e89-bddd-ee05b5a2dfcb"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ((()))((()()(((((((((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide on... | 35,962,315 | 35,962,315 | {
"closing_sequence": ")))))))))))))",
"fill_length": 13,
"full_sequence": "((()))((()()((((((((((()))))))))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "((()))((()()(((((((((((",
"seed": 35962315,
"total_length": 36,
"trace_id": "bdd433d0-b677-4b6a-9d3e-e9f7b837e34f"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: ()(((((())(((()))))()((((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide ... | 80,466,953 | 80,466,953 | {
"closing_sequence": ")))))))",
"fill_length": 7,
"full_sequence": "()(((((())(((()))))()(((()))))))",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "()(((((())(((()))))()((((",
"seed": 80466953,
"total_length": 32,
"trace_id": "f686fb9d-dfa9-4a12-becf-a3c9de77df0b"
} | dyck_language | null |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary closing brackets.\n\nSequence: (())()(())((\n\nRules:\n- Add only the closing brackets needed to match all unmatched opening brackets\n- Do not add any extra bracket pairs beyond what is required\n\nProvide only the comp... | 58,094,604 | 58,094,604 | {
"closing_sequence": "))",
"fill_length": 2,
"full_sequence": "(())()(())(())",
"n_types": 1,
"nesting_depth": 0,
"question_sequence": "(())()(())((",
"seed": 58094604,
"total_length": 14,
"trace_id": "1d696560-bedf-4102-97ee-b9b7506a0a15"
} | dyck_language | null |
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