3.23.1 html 5 50 1 true 4 0 false 2 false true R1.htm 00000003 - Document - Risk/Return Summary {Unlabeled} Sheet http://aiciii/role/RiskReturn Risk/Return Summary 1 false false R5.htm 040000 - Disclosure - Risk/Return Detail Data {Elements} Sheet http://xbrl.sec.gov/rr/role/RiskReturnDetailData Risk/Return Detail Data 2 false false All Reports Book All Reports [dq-0542-Deprecated-Concept] Concept RiskNarrativeTextBlock in rr/2022 used in 1 facts was deprecated in rr/2023 as of 2023-01-31 and should not be used. fp0083780-1_485bposixbrl.htm 654 [dq-0542-Deprecated-Concept] Concept RiskLoseMoney in rr/2022 used in 1 facts was deprecated in rr/2023 as of 2023-01-31 and should not be used. fp0083780-1_485bposixbrl.htm 655 [dq-0542-Deprecated-Concept] Concept RiskNotInsuredDepositoryInstitution in rr/2022 used in 1 facts was deprecated in rr/2023 as of 2023-01-31 and should not be used. fp0083780-1_485bposixbrl.htm 656 fp0083780-1_485bposixbrl.htm aiciii-20230613.xsd aiciii-20230613_cal.xml aiciii-20230613_def.xml aiciii-20230613_lab.xml aiciii-20230613_pre.xml fp0083780-1_ex9928d1xxxi.htm fp0083780-1_ex9928d1xxxii.htm fp0083780-1_ex9928d3xxix.htm fp0083780-1_ex9928g1ii.htm fp0083780-1_ex9928h3ii.htm fp0083780-1_ex9928i.htm fp0083780-1_ex9928m2.htm fp0083780-1_ex9928n11.htm http://xbrl.sec.gov/dei/2022 http://xbrl.sec.gov/rr/2022 true true