Determine the remainder when P(x)=x2026+x2025+⋯+1P(x) = x^{2026} + x^{2025} + \dots + 1P(x)=x2026+x2025+⋯+1 is divided by x2+x+1x^2 + x + 1x2+x+1.
111
000
x+1x+1x+1
xxx