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    def taumBday(b, w, bc, wc, z):
        if(bc>wc+z):
            w=b+w
            return (w*wc)+(b*z)
        elif(wc>bc+z):
            wc=bc+z
            return (w*wc)+(b*bc)
        else:
            return (b*bc)+(w*wc)