FindStatBench: Evaluating Large Language Models on Combinatorial Code Synthesis
Paper • 2607.18260 • Published
task_id stringlengths 12 19 | prompt stringlengths 944 53.4k |
|---|---|
statistic::St000001 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of reduced words for a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
si... |
statistic::St000002 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of occurrences of the pattern 123 in a permutation.
Collection: Permutations
Collection definition:
A
p... |
statistic::St000003 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of
Collection: Integer partitions
Collection definition:
An
integer partition
$\lambda$
of
$n \in \math... |
statistic::St000004 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The major index of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a b... |
statistic::St000005 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The bounce statistic of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n$
i... |
statistic::St000006 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The dinv of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n$
is a lattice ... |
statistic::St000007 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of saliances of the permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
... |
statistic::St000008 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The major index of the composition.
Collection: Integer compositions
Collection definition:
An
integer composition... |
statistic::St000009 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The charge of a standard tableau.
Collection: Standard tableaux
Collection definition:
A
standard (Young) tableau
... |
statistic::St000010 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The length of the partition.
Collection: Integer partitions
Collection definition:
An
integer partition
$\lambda$
... |
statistic::St000011 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of touch points (or returns) of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
... |
statistic::St000012 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The area of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n$
is a lattice ... |
statistic::St000013 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The height of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n$
is a lattic... |
statistic::St000014 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of parking functions supported by a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck pat... |
statistic::St000015 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of peaks of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n$
is... |
statistic::St000016 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of attacking pairs of a standard tableau.
Collection: Standard tableaux
Collection definition:
A
standa... |
statistic::St000017 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of inversions of a standard tableau.
Collection: Standard tableaux
Collection definition:
A
standard (Y... |
statistic::St000018 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of inversions of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$... |
statistic::St000019 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The cardinality of the support of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
... |
statistic::St000020 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The rank of the permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a biject... |
statistic::St000021 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of descents of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$... |
statistic::St000022 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of fixed points of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size... |
statistic::St000023 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of inner peaks of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
... |
statistic::St000024 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of double up and double down steps of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck... |
statistic::St000025 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of initial rises of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilengt... |
statistic::St000026 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The position of the first return of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semi... |
statistic::St000027 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The major index of a Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n$
is a l... |
statistic::St000028 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of stack-sorts needed to sort a permutation.
Collection: Permutations
Collection definition:
A
permutat... |
statistic::St000029 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The depth of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a bijecti... |
statistic::St000030 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The sum of the descent differences of a permutations.
Collection: Permutations
Collection definition:
A
permutatio... |
statistic::St000031 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of cycles in the cycle decomposition of a permutation.
Collection: Permutations
Collection definition:
... |
statistic::St000032 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of elements smaller than the given Dyck path in the Tamari Order.
Collection: Dyck paths
Collection def... |
statistic::St000033 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of permutations greater than or equal to the given permutation in (strong) Bruhat order.
Collection: Per... |
statistic::St000034 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The maximum defect over any reduced expression for a permutation and any subexpression.
Collection: Permutations
C... |
statistic::St000035 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of left outer peaks of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
... |
statistic::St000036 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The evaluation at 1 of the Kazhdan-Lusztig polynomial with parameters given by the identity and the permutation.
Co... |
statistic::St000037 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The sign of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a bijectio... |
statistic::St000038 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The product of the heights of the descending steps of a Dyck path.
Collection: Dyck paths
Collection definition:
A... |
statistic::St000039 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of crossings of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n... |
statistic::St000040 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of regions of the inversion arrangement of a permutation.
Collection: Permutations
Collection definitio... |
statistic::St000041 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of nestings of a perfect matching.
Collection: Perfect matchings
Collection definition:
A
perfect match... |
statistic::St000042 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of crossings of a perfect matching.
Collection: Perfect matchings
Collection definition:
A
perfect matc... |
statistic::St000043 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of crossings plus two-nestings of a perfect matching.
Collection: Perfect matchings
Collection definiti... |
statistic::St000044 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of vertices of the unicellular map given by a perfect matching.
Collection: Perfect matchings
Collectio... |
statistic::St000045 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of linear extensions of a binary tree.
Collection: Binary trees
Collection definition:
A
binary tree
is... |
statistic::St000046 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The largest eigenvalue of the random to random operator acting on the simple module corresponding to the given part... |
statistic::St000047 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of standard immaculate tableaux of a given shape.
Collection: Integer compositions
Collection definitio... |
statistic::St000048 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The multinomial of the parts of a partition.
Collection: Integer partitions
Collection definition:
An
integer part... |
statistic::St000049 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of set partitions whose sorted block sizes correspond to the partition.
Collection: Integer partitions
... |
statistic::St000050 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The depth or height of a binary tree.
Collection: Binary trees
Collection definition:
A
binary tree
is a rooted tr... |
statistic::St000051 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The size of the left subtree of a binary tree.
Collection: Binary trees
Collection definition:
A
binary tree
is a ... |
statistic::St000052 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of valleys of a Dyck path not on the x-axis.
Collection: Dyck paths
Collection definition:
A
Dyck path
... |
statistic::St000053 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of valleys of the Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyck path
of semilength
$n... |
statistic::St000054 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The first entry of the permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a... |
statistic::St000055 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The inversion sum of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a... |
statistic::St000056 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The decomposition (or block) number of a permutation.
Collection: Permutations
Collection definition:
A
permutatio... |
statistic::St000057 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The Shynar inversion number of a standard tableau.
Collection: Standard tableaux
Collection definition:
A
standard... |
statistic::St000058 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The order of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is a bijecti... |
statistic::St000059 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The inversion number of a standard tableau as defined by Haglund and Stevens.
Collection: Standard tableaux
Collec... |
statistic::St000060 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The greater neighbor of the maximum.
Collection: Permutations
Collection definition:
A
permutation
of
size
$n$
is ... |
statistic::St000061 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of nodes on the left branch of a binary tree.
Collection: Binary trees
Collection definition:
A
binary ... |
statistic::St000062 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The length of the longest increasing subsequence of the permutation.
Collection: Permutations
Collection definitio... |
statistic::St000063 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of linear extensions of a certain poset defined for an integer partition.
Collection: Integer partitions... |
statistic::St000064 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of one-box pattern of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
s... |
statistic::St000065 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of entries equal to -1 in an alternating sign matrix.
Collection: Alternating sign matrices
Collection ... |
statistic::St000066 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The column of the unique '1' in the first row of the alternating sign matrix.
Collection: Alternating sign matrices... |
statistic::St000067 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The inversion number of the alternating sign matrix.
Collection: Alternating sign matrices
Collection definition:
... |
statistic::St000068 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of minimal elements in a poset.
Collection: Posets
Collection definition:
A (finite)
poset
(or
partiall... |
statistic::St000069 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of maximal elements of a poset.
Collection: Posets
Collection definition:
A (finite)
poset
(or
partiall... |
statistic::St000070 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of antichains in a poset.
Collection: Posets
Collection definition:
A (finite)
poset
(or
partially orde... |
statistic::St000071 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of maximal chains in a poset.
Collection: Posets
Collection definition:
A (finite)
poset
(or
partially ... |
statistic::St000072 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of circled entries.
Collection: Gelfand-Tsetlin patterns
Collection definition:
Not available.
Encodin... |
statistic::St000073 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of boxed entries.
Collection: Gelfand-Tsetlin patterns
Collection definition:
Not available.
Encoding ... |
statistic::St000074 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of special entries.
Collection: Gelfand-Tsetlin patterns
Collection definition:
Not available.
Encodin... |
statistic::St000075 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The orbit size of a standard tableau under promotion.
Collection: Standard tableaux
Collection definition:
A
stand... |
statistic::St000076 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The rank of the alternating sign matrix in the alternating sign matrix poset.
Collection: Alternating sign matrices... |
statistic::St000077 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of boxed and circled entries.
Collection: Gelfand-Tsetlin patterns
Collection definition:
Not available... |
statistic::St000078 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of alternating sign matrices whose left key is the permutation.
Collection: Permutations
Collection def... |
statistic::St000079 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of alternating sign matrices for a given Dyck path.
Collection: Dyck paths
Collection definition:
A
Dyc... |
statistic::St000080 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The rank of the poset.
Collection: Posets
Collection definition:
A (finite)
poset
(or
partially ordered set
) is a... |
statistic::St000081 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of edges of a graph.
Collection: Graphs
Collection definition:
A (finite, undirected, simple)
graph
$G ... |
statistic::St000082 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of elements smaller than a binary tree in Tamari order.
Collection: Binary trees
Collection definition:... |
statistic::St000083 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of left oriented leafs of a binary tree except the first one.
Collection: Binary trees
Collection defin... |
statistic::St000084 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of subtrees.
Collection: Ordered trees
Collection definition:
An
ordered tree
is a rooted tree where th... |
statistic::St000085 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of linear extensions of the tree.
Collection: Ordered trees
Collection definition:
An
ordered tree
is a... |
statistic::St000086 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of subgraphs.
Collection: Graphs
Collection definition:
A (finite, undirected, simple)
graph
$G = (V,E)... |
statistic::St000087 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of induced subgraphs.
Collection: Graphs
Collection definition:
A (finite, undirected, simple)
graph
$G... |
statistic::St000088 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The row sums of the character table of the symmetric group.
Collection: Integer partitions
Collection definition:
... |
statistic::St000089 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The absolute variation of a composition.
Collection: Integer compositions
Collection definition:
An
integer compos... |
statistic::St000090 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The variation of a composition.
Collection: Integer compositions
Collection definition:
An
integer composition
$\a... |
statistic::St000091 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The descent variation of a composition.
Collection: Integer compositions
Collection definition:
An
integer composi... |
statistic::St000092 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of outer peaks of a permutation.
Collection: Permutations
Collection definition:
A
permutation
of
size
... |
statistic::St000093 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The cardinality of a maximal independent set of vertices of a graph.
Collection: Graphs
Collection definition:
A (... |
statistic::St000094 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The depth of an ordered tree.
Collection: Ordered trees
Collection definition:
An
ordered tree
is a rooted tree wh... |
statistic::St000095 | Write only Python code that defines `def solve(obj):`.
Do not include explanation, prose, tests, or Markdown.
The function must return an integer.
You may use the Python standard library only.
Task name: The number of triangles of a graph.
Collection: Graphs
Collection definition:
A (finite, undirected, simple)
graph... |
End of preview. Expand in Data Studio
FindStatBench
FindStatBench evaluates whether a model can turn a mathematical description into a Python function, solve(obj), that computes a statistic or maps one combinatorial object to another. The corpus contains 2,329 tasks in 24 collections and 5,517,046 evaluation instances held out from generation prompts.
This Parquet distribution, version 1.0.0-hf1, preserves the original task records, closed-book prompts, and evaluation instances without changing their values or order. See the paper for the evaluation protocol and the Zenodo archive for the historical evaluator and experiment artifacts.
Configurations
| Configuration | Rows | Contents |
|---|---|---|
prompts (default) |
2,329 | Exact model-facing closed-book prompts and task IDs |
tasks |
2,329 | Task metadata, public examples, and original source-bearing task prompts |
hidden |
5,517,046 | Evaluation inputs and reference outputs, withheld from model prompts |
All configurations have a single test split. The corpus includes 1,993 statistic tasks (1,929,082 evaluation instances) and 336 map tasks (3,587,964 evaluation instances).
Loading the data
from datasets import load_dataset
repo_id = "sdan021/FindStatBench"
prompts = load_dataset(repo_id, "prompts", split="test")
evaluation = load_dataset(repo_id, "hidden", split="test", streaming=True)
For the one-shot protocol, send only the prompt field from the prompts configuration. The tasks.prompt field is a source-bearing archival prompt, not the input for closed-book generation. The evaluation labels are publicly downloadable; they must not be used for training, retrieval, feedback, or candidate selection when reporting closed-book scores. Report public-example repair and any other tool use or selection separately.
Nested fields in the task and evaluation tables are encoded as JSON strings in columns ending in _json. This preserves strings such as binary words with leading zeros. The MIT-licensed findstatbench_data.py helper decodes those fields without changing the records. Record the repository revision for reproducibility. package_manifest.json records source and shard checksums and canonical record digests.
Evaluation and limitations
Use the historical evaluator in the Zenodo archive for comparison with the paper. Run untrusted generated programs only in an isolated execution environment. An extracted program can fail to run or be incorrect. Report task accuracy (all cases correct for a task) and instance accuracy (fraction of cases correct) separately.
Some inputs and map targets retain normalized string encodings. Exact scoring can reject mathematically equivalent outputs in other representations. Public source pages, retained cross-references, and downloadable labels mean this benchmark cannot establish that a model has never seen a task. Finite tests are not a proof of correctness, and these results are not a measure of general software engineering.
Attribution and licensing
FindStatBench is maintained by Soham Dan and derives from FindStat, maintained by Martin Rubey, Christian Stump, and the FindStat contributors. Cite the FindStatBench paper and follow the FindStat citation guidance.
The data adaptations follow the upstream CC BY-SA 3.0 Unported policy to the extent of the applicable upstream grant. See attribution and changes, data rights, and the full license. The original decoding helper is separately MIT-licensed. Model-provider outputs and generated programs are not included here.
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