New,Lost,Existing Customer Count -- Dax Help

Hello,
I just want to count new,lost,existing customer. Below are my data and scenario

on the first month April ,Every body will be my new customer (i.e A,B,C,D) so count will be 4.

on the next month May,B,C,D continues so they are my existing customer (count is 3).A discontinues so A is lost customer (Count is 1) and a new Customer E is joining,so count is also 1.

on june, C and D my existing Customer (Count 2), B and E my Lost customer ( count 2) and A is my non-existing customer (beacuse on th previous month A was my lost customer). and a new customer "F" is joining (Count 1).

on july,C and D my existing Customer (Count 2) .again A,B,E are joining on this month so they are my new customer (Count 3) and F is my lost customer (Count 1).
on last month August, A, E, B continues,so they are my existing customer (count 3).C & D my Lost customer (Count 2) because they are missing and F is my non-existing customer.

New customer Logic : 1) If any one not into the previous month, but appears into the current month so they are my New.2)if anyone lost in previous month but again they are joining in current month so they are my new.

Lost Customer : if any one appears into previous month. but does not continue into current month then they are my lost customer.

Non-existing Customer : If anyone lost in previous month and again not continue in current month then they are my non-existing customer.
Existing customer : if any one appears in previous month and aalso apeears on current month thn they are my existing customer.

Please see the below image.

Desired Count:

Month          New customer          Existing Customer      Lost Customer              Non-existing Customer
April :                 4  (A,B,C,D)                          0                                       0                              0

May :                  1 (E)                                   3(B,C,D)                  1(A)                                     0

June :                   1(F)                                   2(C,D)                     2 (B,E)                                 1 (A)

July  :                   3 (A,B,E)                            2 (C,D)                   1(F)                                       0

August :               0                                       3(A,B,E)                  2 (C,D)                                 1(F)

I have to build this logic into Dax rather than PQ.
Can anyone help me into this?? how to achieve that..

@ Zubair_Muhammad, @Greg_Deckler