Consider the atomic system as shown in the figure, where the Einstein A coefficients for spontaneous emission for the levels are \( A_{2 \to 1} = 2 \times 10^7 \, \text{s}^{-1} \) and \( A_{1 \to 0} = 10^8 \, \text{s}^{-1} \). If \( 10^{14} \, \text{atoms/cm}^3 \) are excited from level 0 to level 2 and a steady state population in level 2 is achieved, then the steady state population at level 1 will be \( x \times 10^{13} \, \text{cm}^{-3} \). The value of \( x \) (in integer) is \(\underline{\hspace{2cm}}\).
