Percentage amount paid to the advisor for management of the day-to-day business functions of the LLC or LP including the fee rate, basis of calculation, relevant accounting period, whether the fee is paid to an entity other than the managing member or General Partner, or whether the fee is waived.

No definition available.

+ Details

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Namespace Prefix:	gaifb_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

The amount of redemptions of the fund during the period from the beginning of the period to the latest practicable date.

+ References

No definition available.

+ Details

Name:	gaifb_FundRedemptions
Namespace Prefix:	gaifb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The amount of subscriptions to the fund during the period from the beginning of the period to the latest practicable date.

+ References

No definition available.

+ Details

Name:	gaifb_FundSubscriptions
Namespace Prefix:	gaifb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- References

No definition available.

+ Details

Name:	gaifb_SubsequentEventFundAbstract
Namespace Prefix:	gaifb_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Fees paid to advisors who provide certain management support and administrative oversight services including the organization and sale of stock, investment funds, limited partnerships and mutual funds.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.3)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147483621/220-10-S99-2

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Details

Name:	us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Subsequent Events (Details) - USD ($)		3 Months Ended	12 Months Ended
Subsequent Events (Details) - USD ($)	Mar. 19, 2024	Mar. 28, 2024	Dec. 31, 2023	Dec. 31, 2022
Subsequent Event, Fund [Abstract]
Sponsor Fees			$ 261,060	$ 257,756
Subsequent Event [Member]
Subsequent Event, Fund [Abstract]
Sponsor Fees	$ 0
Advisory fees at annual rate of Members' Capital	2.00%
Fund subscriptions		$ 300,000
Fund redemptions		$ 1,600,000