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BIG-Bench Extra Hard (BBEH) / You are an expert in a language called dyck where you must complete the language…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

input

You are an expert in a language called dyck where you must complete the language sequence of unclosed brackets of all types (e.g., [], {}, <>). You are given an initial initial dyck language sequence and the steps, provided as
thoughts, that were used to arrive at the closing bracket sequence in the dyck language. Your job is to identify the first step that was a mistake in reasoning about the closing bracket sequence in dyck language, if any.
This can be forgetting to close a bracket or closing with the wrong bracket or incorrectly copying the prior subsequence of closing brackets to the next step.
Task: Complete the rest of the sequence, making sure that the parentheses are closed properly. Input: [ { { ( < < [ < [ { [ ( [ [ ( ) ( < { { ( ) } { [ ] } } { } > ) ] ( ) ] ) ] } ] > [ { [ { [ < > ] } ] } [ < [ ] > [ [ ] ] { ( ) ( ) } { [ [ < < > > [ ] ] ] } ] [ < < > > ( ) ] ] ] > > ( ) )
Thought 1: We should process each input one by one and keep track of the stack configuration.
Thought 2: stack: empty
Thought 3: [ ; stack: [
Thought 4: { ; stack: [ {
Thought 5: { ; stack: [ { {
Thought 6: ( ; stack: [ { { (
Thought 7: < ; stack: [ { { ( <
Thought 8: < ; stack: [ { { ( < <
Thought 9: [ ; stack: [ { { ( < < [
Thought 10: < ; stack: [ { { ( < < [ <
Thought 11: [ ; stack: [ { { ( < < [ < [
Thought 12: { ; stack: [ { { ( < < [ < [ {
Thought 13: [ ; stack: [ { { ( < < [ < [ { [
Thought 14: ( ; stack: [ { { ( < < [ < [ { [ (
Thought 15: [ ; stack: [ { { ( < < [ < [ { [ ( [
Thought 16: [ ; stack: [ { { ( < < [ < [ { [ ( [ [
Thought 17: ( ; stack: [ { { ( < < [ < [ { [ ( [ [ (
Thought 18: ) ; stack: [ { { ( < < [ < [ { [ ( [ [
Thought 19: ( ; stack: [ { { ( < < [ < [ { [ ( [
Thought 20: < ; stack: [ { { ( < < [ < [ { [ (
Thought 21: { ; stack: [ { { ( < < [ < [ {
Thought 22: { ; stack: [ { { ( < < [ <
Thought 23: ( ; stack: [ { { ( < < [
Thought 24: ) ; stack: [ { { ( < <
Thought 25: ] ; stack: [ { { ( <
Thought 26: ) ; stack: [ { { (
Thought 27: ] ; stack: [ { {
Thought 28: ] ; stack: [ {
Thought 29: > ; stack: [
Thought 30: [ ; stack: [
Thought 31: { ; stack: [ {
Thought 32: { ; stack: [ { {
Thought 33: [ ; stack: [ { { [
Thought 34: < ; stack: [ { { [ <
Thought 35: > ; stack: [ { { [
Thought 36: ] ; stack: [ { {
Thought 37: } ; stack: [ {
Thought 38: } ; stack: [
Thought 39: [ ; stack: [
Thought 40: < ; stack: [ <
Thought 41: ] ; stack: [
Thought 42: > ; stack: empty
Thought 43: [ ; stack: [
Thought 44: [ ; stack: [ [
Thought 45: < ; stack: [ [ <
Thought 46: > ; stack: [ [
Thought 47: ] ; stack: [
Thought 48: ] ; stack: empty
Thought 49: ) ; stack: empty
Thought 50: ) ; stack: empty
Thought 51: Now, we have reached the end. The final stack is empty.
Thought 52: So the answer is )
Q: Is there a mistake in this sequence? Write "No" if there are no mistakes, or the number N if there is a mistake in Thought N.

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Source and history

task_id
bedd89e8-50c7-5919-bb24-176f1dd1238c
task_key
bbeh~5fdyck~5flanguages--full--bedd89e8-50c7-5919-bb24-176f1dd1238c
task_revision_id
1
config / split
bbeh_dyck_languages / full

Official source

initial import