Vrijeme: 12:53

Do I feel lucky? Well, do ya, punk? #4

Dani su a_1, a_2, \dots, a_{100} \in \mathbb{R} takvi da a_1 \geq a_2 \geq \dots \geq a_{100} \geq 0 a_1^2 + a_2^2 \geq 100 a_3^2 + \dots + a_{100}^2 \geq 100 Koliko najmanje može iznositi a_1 + a_2 + \dots + a_{100}?