x.sort()
    count=0
    while x:
        
        leftHouse=x[0]#this provides the latest left house that does not have connection
        #print('leftHouse',leftHouse)
        while x and leftHouse+k >=x[0]:#this part ensures that the value added covers all left houses using loop ,when the value goes out of transmitters reach loop breaks
           # print('leftHouse+k',leftHouse+k,'>=x[0]',x[0],'x=',x)
            transmitter =x.pop(0)#this iteration places transmitter
           # print('new value of x after pop',x)
           ## print('transmitter',transmitter)
        while x and transmitter+k>=x[0]:#this side handles right side of the transmission
            print('transmitter  loop pop',x.pop(0))#this is more or less doing an increment
            #print('new value of s after pop',x)
        count+=1
    return count