# Its freezing out here!!

The time taken to freeze water present in an open container with insulated walls is of the form \(c_1 \times \rho_w^a \times L^b \times h^c \times k^d \times T^e\) where \(c_1\)is a constant, \(\rho_w\) is the density of water, \(L\) is the latent heat of fusion of water, \(h\) is the height of the water column, \(k\) is the thermal conductivity of ice and \(-T^{\circ}C\) is the temperature of the surroundings.Assume that the initial temperature of water is \(0^{\circ}C\).

Find \(4c_1+a+b+c+d+e\)