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The maximum frequency for reflection of sky waves from a certain layer of the ionosphere is found to be \( \mathrm{f}_{\max }=9\left(\mathrm{~N}_{\max }\right)^{1 / 2} \), where \( \mathrm{N}_{\max } \) is the maximum electron density at that layer of the ionosphere. On a
\( \mathrm{P} \) certain day it is observed that signals of frequencies higher than \( 5 \mathrm{MHz} \) are not received by reflection

W from the \( F_{1} \) layer of the ionosphere while signals of frequencies higher than \( 8 \mathrm{MHz} \) are not received by reflection from the \( \mathrm{F}_{2} \) layer of the inonosphere. Estimate the maximum electron densities of the \( \mathrm{F}_{1} \) and \( \mathrm{F}_{2} \) layers on that day.
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