Trouble in calculated column over date range

[sandipsatale]

I have two date columns in one table

Coolumn Hears : Activity|City|Start_Date|End_Date

Row 1 : A1|C1|01/01/2014|05/01/2014

Row 2 : A1|C1|06/01/2014|07/01/2014

Row 3: A2|C2|06/01/2014|07/01/2014

Row 4: A3|C3|03/01/2014|04/01/2014

Expected output like - If user selects date range 02/01/2014 to 07/01/2014

Column Header

City | #StartCount| #EndCount

Row 1 : C1 | 1 | 2

Row 2 : C2 | 1 | 1

Row 2 : C3 | 1 | 1

Here #StartCount is
- Need to grouped by City.
- Its Count of Distinct Activity
- It should consider date boundries as : All activity for which start date 'greater or equeal(>=)' Input Start date and (less than '<') End Date

Here #EndCount is
- Need to grouped by City.
- Its Count of Distinct Activity
- It should consider date boundries as : All activity for which Ends date 'Less or equeal(<=)' Input End date and (Greater than '>') End Date

Could you please suggest me expression to be used for such case.
Calculated measure or dax can be used..