diff --git a/informal/putnam.json b/informal/putnam.json index cf78d7c1..ebf6b9d5 100644 --- a/informal/putnam.json +++ b/informal/putnam.json @@ -4880,7 +4880,7 @@ { "problem_name": "putnam_2019_b6", "informal_statement": "Let \\( \\mathbb{Z}^n \\) be the integer lattice in \\( \\mathbb{R}^n \\). Two points in \\( \\mathbb{Z}^n \\) are called neighbors if they differ by exactly 1 in one coordinate and are equal in all other coordinates. For which integers \\( n \\geq 1 \\) does there exist a set of points \\( S \\subset \\mathbb{Z}^n \\) satisfying the following two conditions? \\begin{enumerate} \\item If \\( p \\) is in \\( S \\), then none of the neighbors of \\( p \\) is in \\( S \\). \\item If \\( p \\in \\mathbb{Z}^n \\) is not in \\( S \\), then exactly one of the neighbors of \\( p \\) is in \\( S \\). \\end{enumerate}", - "informal_solution": "Show that the statement is true for every n \geq 1", + "informal_solution": "Show that the statement is true for every \\(n \\geq 1\\)", "tags": [ "algebra" ]