Note 7 - Long-term Debt (Details Textual) - USD ($) $ in Thousands			3 Months Ended	12 Months Ended
	May 23, 2023	Jan. 20, 2023	Jul. 01, 2023	Mar. 31, 2022	Mar. 31, 2023	Jul. 02, 2022	Jul. 31, 2021	Mar. 24, 2021	May 28, 2020
Accounts Receivable, Vegetable and Fruit Products Sold, Standard Payment Term (Month)				3 months
Accounts Receivable, Vegetable and Fruit Products Sold, Maximum Payment Term (Month)				7 months
Long-Term Debt			$ 433,894		$ 442,695	$ 171,089
Term Loan A-1 [Member]
Debt Instrument, Interest Rate, Stated Percentage		3.3012%
Debt Instrument, Periodic Payment, Principal		$ 1,000	1,000
Long-Term Debt		$ 100,000	87,940		88,932	91,908
Debt Instrument, Maturity Date		Jun. 01, 2025
Term Loan A-2 [Member]
Debt Instrument, Periodic Payment, Principal		$ 1,500
Long-Term Debt	$ 173,500	$ 175,000	293,674		$ 172,949	$ 0
Debt Instrument, Maturity Date		Jan. 20, 2028
Second Amended and Restated Loan and Guaranty Agreement Amendment One with Farm Credit East, ACA [Member]
Debt Instrument, Face Amount	125,000
Amended Term Loan A-2 [Member]
Debt Instrument, Periodic Payment, Principal	3,750
Long-Term Debt	$ 298,500
Debt Instrument, Unamortized Discount			$ 1,100
Term Loan Payable to Farm Credit East ACA [Member]
Debt Instrument, Face Amount									$ 100,000
Debt Instrument, Interest Rate, Stated Percentage			3.3012%
Revolving Credit Facility [Member]
Line of Credit Facility, Maximum Borrowing Capacity During Nonproduction Period							$ 300,000	$ 400,000
Line of Credit Facility, Maximum Borrowing Capacity During Production Period				$ 400,000