VTMO 2021 — Grade 7 — cup Question 1

Positive integers $k = 1 , k = 2 , k = 3$ sum to $2021$ and $| x = 1 - x = 2 \frac{|}{k} = 1 = | x = 2 - x = 3 \frac{|}{k} = 2 = | x = 3 - x = 1 \frac{|}{k} = 3$. Find $T = \left(x = 1 + x = 2 - 2 x = 3\right)^{2021}$.