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A pump with an efficiency of $80\%$ is used to draw groundwater from a well for irrigating a flat field of area $108$ hectares. The base period and delta for paddy crop on this field are $120 \; \text{days}$ and $144\; \text{cm},$ respectively. Water application efficiency in the field is $80\%.$ The lowest level of water in the well is $10 \; \text{m}$ below the ground. The minimum required horse power $\text{(h.p.)}$ of the pump is __________. (round off to two decimal places)

(Consider $1 \; \text{h.p.} = 746 \; \text{W};$ unit weight of water $= 9810 \; \text{N/m}^{3}$)  

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