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Summary of Significant Accounting Policies (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]      
Amortization of Deferred Charges $ 3,567,409us-gaap_AmortizationOfDeferredCharges $ 2,483,217us-gaap_AmortizationOfDeferredCharges $ 1,712,530us-gaap_AmortizationOfDeferredCharges
Financing Costs [Member]      
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]      
Amortization of Deferred Charges 950,878us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_FinancingCostsMember
736,425us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_FinancingCostsMember
581,353us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_FinancingCostsMember
Leasing Costs [Member]      
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]      
Amortization of Deferred Charges 125,946us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_LeasingCostsMember
113,101us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_LeasingCostsMember
106,100us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_LeasingCostsMember
Lease Intangibles [Member]      
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]      
Amortization of Deferred Charges $ 2,490,585us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_LeaseIntangiblesMember
$ 1,633,691us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_LeaseIntangiblesMember
$ 1,025,077us-gaap_AmortizationOfDeferredCharges
/ adc_DeferredExpensesAxis
= adc_LeaseIntangiblesMember