cff-version: 1.2.0
message: If you use results from this problem page, please cite it as below.
title: "Cairn Commons — Unavoidable k-shuffles in long permutations"
type: dataset
license: CC-BY-4.0
url: "https://cairn-commons.com/problems/k-shuffle-factors-permutations"
date-released: 2026-10-04
authors:
  - name: Cairn Commons contributors
keywords:
  - "combinatorics"
  - "oberwolfach"
  - "permutation-patterns"
  - "shuffles"
  - "exhaustive-search"
  - "sat"