21:["$","div",null,{"data-slot":"card","className":"bg-card text-card-foreground flex flex-col gap-6 rounded-xl border py-6 shadow-sm w-full max-w-4xl mx-auto hover:shadow-lg hover:border-primary/50 transition-all duration-200 cursor-pointer","children":[["$","div",null,{"data-slot":"card-header","className":"@container/card-header grid auto-rows-min grid-rows-[auto_auto] items-start gap-2 px-6 has-data-[slot=card-action]:grid-cols-[1fr_auto] [.border-b]:pb-6","children":["$","div",null,{"className":"flex justify-between items-start gap-4","children":[["$","div",null,{"className":"space-y-1","children":[["$","div",null,{"data-slot":"card-title","className":"text-xl font-bold hover:text-primary transition-colors","children":"Colorful combo geo"}],["$","p",null,{"className":"text-sm text-muted-foreground","children":["Source: ","IMSC 2023 Mock IMO P5"]}]]}],["$","div",null,{"className":"text-xs text-muted-foreground whitespace-nowrap","children":"7/13/2023"}]]}]}],["$","div",null,{"data-slot":"card-content","className":"px-6 space-y-4","children":["$","div",null,{"className":"prose dark:prose-invert max-w-none","children":["$","div",null,{"className":"latex","children":["$","span",null,{"className":"__Latex__","dangerouslySetInnerHTML":{"__html":"In the plane,

2022

points are chosen such that no three points lie on the same line. Each of the points is coloured red or blue such that each triangle formed by three distinct red points contains at least one blue point.\nWhat is the largest possible number of red points?
Proposed by Art Waeterschoot, Belgium"}}]}]}]}],["$","div",null,{"data-slot":"card-footer","className":"items-center px-6 [.border-t]:pt-6 flex flex-wrap gap-2","children":[["$","span","combinatorics",{"data-slot":"badge","className":"inline-flex items-center justify-center rounded-full border px-2 py-0.5 text-xs font-medium w-fit whitespace-nowrap shrink-0 [&>svg]:size-3 gap-1 [&>svg]:pointer-events-none focus-visible:border-ring focus-visible:ring-ring/50 focus-visible:ring-[3px] aria-invalid:ring-destructive/20 dark:aria-invalid:ring-destructive/40 aria-invalid:border-destructive transition-[color,box-shadow] overflow-hidden border-transparent bg-secondary text-secondary-foreground [a&]:hover:bg-secondary/90","children":"combinatorics"}]]}]]}]

5

Problems(1)