Marinada '25

[lang=hr] Patrik stoji na kugli radiusa $1$. Kroz jedno uho čuje meow, a onda poslije $3$ sekunde čuje meow na drugo uho. Ako je poznato da se zvuk na našoj kugli širi po podu i to savršeno $1$ jedinica po sekundi. Odredi najmanji put Patrika i mačke [/lang] [lang=en] Patrik stands on a sphere of radius $1$. Through one ear he hears “meow”, and then after $3$ seconds he hears “meow” in the other ear. It is known that sound on our sphere travels along the surface at exactly $1$ unit per second. Determine the shortest path of Patrik and the cat. [/lang]