Datasets:

EscheWang
/

AlternateNumbers

prompt stringclasses 1 value	output sequencelengths 10 10
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "19", "12", "19", "16", "17", "4", "3", "16", "13", "14" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "20", "11", "4", "19", "20", "9", "20", "17", "4", "11" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "8", "17", "6", "3", "10", "17", "18", "1", "10" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "12", "7", "8", "13", "8", "9", "16", "7", "10", "9" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "9", "2", "15", "8", "7", "18", "17", "2", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "6", "3", "2", "1", "14", "9", "16", "5", "2", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "9", "12", "15", "6", "1", "20", "3", "8", "5", "10" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "1", "0", "3", "10", "15", "4", "1", "10", "13", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "12", "15", "6", "15", "6", "19", "2", "1", "0", "1" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "19", "14", "3", "6", "13", "14", "13", "0", "3", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "6", "11", "10", "13", "18", "9", "14", "19", "0", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "17", "16", "13", "6", "17", "2", "11", "6", "17" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "2", "19", "2", "13", "0", "13", "16", "9", "20", "17" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "5", "16", "15", "4", "3", "6", "5", "6", "9", "6" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "0", "17", "2", "19", "18", "5", "12", "15", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "20", "15", "10", "15", "2", "3", "8", "15", "0", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "14", "9", "4", "13", "14", "13", "10", "1", "10", "13" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "14", "17", "20", "3", "12", "1", "4", "3", "4" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "0", "3", "12", "13", "8", "1", "20", "19", "20", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "11", "0", "3", "20", "3", "16", "13", "8", "1" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "3", "20", "1", "4", "7", "10", "9", "10", "11", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "20", "5", "14", "1", "4", "3", "10", "19", "20", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "14", "7", "0", "9", "6", "13", "8", "7", "0", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "0", "9", "6", "3", "10", "17", "0", "7", "20", "13" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "16", "13", "14", "3", "8", "9", "16", "1", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "5", "6", "3", "14", "17", "2", "19", "4", "15", "16" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "20", "3", "18", "19", "2", "17", "8", "11", "4", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "16", "17", "8", "5", "0", "1", "2", "9", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "15", "4", "9", "0", "11", "18", "15", "20", "19", "2" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "7", "14", "9", "14", "15", "2", "19", "10", "3", "20" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "8", "19", "6", "1", "6", "13", "6", "7", "8", "7" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "0", "17", "20", "5", "8", "11", "14", "17", "2", "7" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "7", "20", "9", "4", "13", "14", "9", "12", "1", "12" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "3", "16", "5", "12", "3", "10", "17", "8", "17", "8" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "0", "17", "18", "3", "18", "7", "4", "19", "10", "15" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "3", "12", "19", "0", "17", "14", "15", "20", "5", "6" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "20", "15", "2", "15", "20", "9", "16", "9", "18", "7" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "9", "10", "9", "0", "13", "10", "11", "2", "9", "2" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "4", "17", "10", "7", "0", "17", "0", "15", "20", "1" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "12", "13", "14", "1", "12", "17", "2", "17", "20" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "12", "3", "2", "17", "4", "17", "16", "3", "6", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "15", "12", "15", "8", "17", "12", "15", "16", "11", "12" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "15", "8", "13", "0", "5", "6", "11", "0", "7" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "9", "10", "17", "16", "7", "2", "1", "14", "1", "10" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "18", "7", "8", "11", "18", "15", "6", "15", "10", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "20", "3", "6", "5", "10", "7", "2", "17", "16" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "10", "15", "18", "7", "2", "3", "8", "15", "6", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "10", "11", "10", "19", "14", "7", "14", "9", "12", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "16", "11", "6", "15", "10", "19", "2", "19", "0" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "6", "19", "6", "3", "18", "9", "18", "19", "14", "17" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "11", "12", "17", "16", "15", "0", "5", "16", "19", "14" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "7", "20", "19", "14", "19", "4", "3", "0", "5", "14" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "15", "4", "3", "10", "1", "18", "19", "12", "1", "0" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "8", "17", "6", "13", "20", "5", "0", "19", "14", "11" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "4", "7", "18", "9", "8", "11", "10", "7", "4", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "20", "11", "0", "19", "2", "5", "16", "3", "16", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "2", "17", "10", "1", "18", "7", "14", "1", "4", "9" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "8", "17", "6", "19", "16", "15", "10", "5", "12", "9" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "17", "2", "15", "14", "17", "14", "15", "18", "19", "20" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "1", "18", "19", "16", "5", "14", "5", "14", "13", "0" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "10", "1", "6", "7", "2", "11", "4", "17", "12", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "19", "16", "19", "2", "3", "8", "13", "6", "17", "2" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "5", "10", "5", "8", "3", "18", "3", "0", "9", "0" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "14", "13", "16", "5", "8", "19", "2", "15", "2", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "14", "15", "2", "17", "14", "11", "6", "3", "2", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "19", "2", "3", "16", "19", "12", "15", "12", "11", "14" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "3", "0", "11", "18", "13", "14", "1", "10", "3", "16" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "18", "13", "16", "17", "10", "15", "12", "17", "4" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "6", "3", "18", "9", "20", "13", "4", "7", "14", "11" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "8", "5", "12", "17", "12", "5", "8", "17", "4", "17" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "4", "11", "4", "1", "16", "11", "4", "7", "16", "11" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "0", "11", "20", "9", "4", "7", "10", "17", "2", "11" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "3", "6", "17", "14", "5", "6", "1", "18", "7", "14" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "6", "1", "0", "7", "4", "15", "4", "15", "2", "1" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "4", "3", "14", "3", "18", "19", "6", "17", "12", "17" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "19", "4", "17", "12", "15", "0", "19", "16", "19", "10" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "15", "14", "3", "14", "9", "0", "17", "4", "7" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "8", "15", "6", "5", "20", "5", "16", "11", "10", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "10", "9", "18", "13", "18", "1", "16", "19", "16", "13" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "17", "14", "1", "20", "9", "20", "9", "8", "15", "6" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "14", "15", "12", "13", "10", "5", "6", "13", "14" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "14", "9", "2", "13", "12", "9", "4", "13", "20" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "17", "8", "15", "12", "3", "14", "17", "14", "15", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "18", "1", "10", "1", "10", "9", "10", "9", "18", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "19", "6", "15", "0", "15", "20", "7", "16", "7", "0" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "15", "0", "3", "0", "19", "0", "13", "2", "11" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "17", "0", "19", "0", "13", "6", "7", "2", "1", "6" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "3", "12", "5", "6", "11", "10", "3", "2", "5", "18" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "2", "13", "8", "1", "2", "15", "14", "9", "16", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "5", "10", "5", "20", "5", "18", "5", "4", "3", "10" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "18", "19", "4", "15", "0", "15", "6", "9", "12", "7" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "12", "9", "4", "1", "0", "11", "14", "9", "20", "19" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "17", "20", "19", "2", "9", "0", "17", "2", "17", "6" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "0", "1", "6", "15", "20", "3", "4", "15", "20" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "14", "7", "10", "13", "20", "1", "18", "17", "20", "5" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "13", "6", "11", "10", "9", "6", "7", "16", "15", "8" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "0", "11", "4", "13", "20", "5", "0", "11", "6", "15" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "16", "5", "14", "5", "0", "17", "20", "15", "8", "17" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "14", "15", "4", "17", "18", "15", "6", "15", "4", "9" ]
Generate a list of numbers that follow the rule: even number followed by odd number and odd number followed by even number and between 0 and 20:	[ "5", "12", "13", "20", "11", "14", "9", "4", "1", "6" ]

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This is a dataset for CFG-based GflowNet development. The ebnf style CFG for numbers are:

root ::= number_list

number_list ::= number (number_list)?

number ::= odd even | even odd

even ::= "0," | "2," | "4," | "6," | "8," | "10," | "12," | "14," | "16," | "18," | "20,"

odd ::= "1," | "3," | "5," | "7," | "9," | "11," | "13," | "15," | "17," | "19,"

However, this CFG cannot satisfy all the requirments. The CFG give a chunk of numbers where the transition between chunks always failed to satisfy our requirment:

Total correct ≤ Total grammar Agreed

~6332/100000 (how many correct numbers in CFG generated numbers)

So we need RL or Gflow to bridge the gap between CFG and the targets.

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