ÖMO 1985 Problem 1

Determine all quadruples $(a,b,c,d)$ of nonnegative integers satisfying:

$a^2+b^2+c^2+d^2=a^2 b^2 c^2$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.