Let $\theta_1, \theta_2, \ldots, \theta_{10}$ be positive valued angles (in radian) such that $\theta_1+\theta_2+\ldots+\theta_{10}=2 \pi$. Define the complex numbers $\mathrm{z}_1=\mathrm{e}^{\mathrm{e}}, \mathrm{z}_{\mathrm{k}}=\mathrm{z}_{\mathrm{k}-1} \mathrm{e}^{\mathrm{ec}}$ for $\mathrm{k}=2,3, \ldots, 10$, where $\mathrm{i}=\sqrt{-1}$. Consider the statements P and Q given below :
$$
\begin{aligned}
& P:\left|z_2-z_1\right|+\left|z_3-z_2\right|+\ldots . .+\left|z_{10}-z_9\right|+\left|z_1-z_{10}\right| \leq 2 \pi \\
& Q:\left|z_2^2-z_1^2\right|+\left|z_3^2-z_2^2\right|+\ldots . .+\left|z_{10}^2-z_9^2\right|+\left|z_1^2-z_{10}^2\right| \leq 4 \pi
\end{aligned}
$$
Then.
