Odredi sve realne brojeve a1a2a20200a_1 \geqslant a_2 \geqslant \cdots \geqslant a_{2020} \geqslant 0 za koje vrijedi a1+a2++a2020=1ia12+a22++a20202=a1.a_1 + a_2 + \cdots + a_{2020} = 1 \quad \text{i} \quad a_1^2 + a_2^2 + \cdots + a_{2020}^2 = a_1.