A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required by the crop is $35 \mathrm{~cm}$. The most intense watering is required over a period of $30$ days and requires a total depth of water equal to $12 \mathrm{~cm}$. Assuming precipitation to be negligible and neglecting all losses, the minimum discharge (in $\mathrm{m}^3 / \mathrm{s}$, rounded off to three decimal places) in the canal to satisfy the crop requirement is __________.