{
  "problem_id": "IMO2026-P2",
  "day": 1,
  "number": 2,
  "language": "en",
  "statement_markdown": "Let $ABC$ be a triangle and let points $M$ and $N$ be the midpoints of sides $AB$ and $AC$, respectively. Let points $K$ and $L$ be chosen strictly inside triangles $BMC$ and $BNC$, respectively, such that $K$ lies strictly inside triangle $ABL$ and $L$ lies strictly inside triangle $AKC$. Suppose that\n$$\\angle KBA=\\angle ACL,\\qquad \\angle LBK=\\angle LNC,\\qquad \\text{and}\\qquad \\angle LCK=\\angle BMK.$$\nLet $O$ be the circumcentre of triangle $AKL$. Prove that $OM=ON$.",
  "normalization_changes": [
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    "Whitespace collapsed; problem parts kept as in source (e.g. (a)/(b), bulleted steps)."
  ],
  "semantic_content_unchanged": true
}