An engine running on an air standard Otto cycle has a displacement volume $250\: cm^{3}$ and a clearance volume $35.7\: cm^{3}$. The pressure and temperature at the beginning of the compression process are $100$ $\text{kPa}$ and $300 \:K$, respectively. Heat transfer during constant-volume heat addition process is $800$ $\text{kJ/kg}$. The specific heat at constant volume is $0.718$ $\text{kJ/kg.K}$ and the ratio of specific heats at constant pressure and constant volume is $1.4$. Assume the specific heats to remain constant during the cycle. The maximum pressure in the cycle is _______________ $\text{kPa}$ (round off to the nearest integer)