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Intangible and Other Assets- Schedule of Intangible and Other Assets (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 30, 2023 | Dec. 31, 2022 | Jan. 01, 2022
Intangibles-subject to amortization: |  |  |
Gross Amount | $ 9,671 | $ 9,718 |
Accumulated Amortization | 7,227 | 6,680 |
Intangibles-not subject to amortization: |  |  |
Gross Amount | 8,919 | 8,876 |
Other assets: |  |  |
Gross Amount | 47,733 | 44,085 |
Total Gross Amount | 66,323 | 62,679 |
Total Accumulated Amortization | 7,227 | 6,680 |
Total intangible and other assets-net | 59,096 | 55,999 |
Amortization expense for intangible assets | 900 | 2,500 | $ 3,400
Other deposits |  |  |
Other assets: |  |  |
Gross Amount | 16,168 | 16,487 |
Deferred tax asset-net |  |  |
Other assets: |  |  |
Gross Amount | 21,426 | 17,262 |
Restricted cash |  |  |
Other assets: |  |  |
Gross Amount | 4,309 | 5,243 |
Debt issuance costs |  |  |
Other assets: |  |  |
Gross Amount | 2,490 | 3,124 |
Other |  |  |
Other assets: |  |  |
Gross Amount | $ 3,340 | 1,969 |
Minimum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 3 years |  |
Maximum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 20 years |  |
Trademarks |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 10 years |  |
Gross Amount | $ 3,978 | 3,728 |
Accumulated Amortization | 3,256 | 3,243 |
Customer lists |  |  |
Intangibles-subject to amortization: |  |  |
Gross Amount | 0 | 279 |
Accumulated Amortization | $ 0 | 266 |
Customer lists | Minimum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 5 years |  |
Customer lists | Maximum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 10 years |  |
Patents |  |  |
Intangibles-subject to amortization: |  |  |
Gross Amount | $ 850 | 867 |
Accumulated Amortization | $ 546 | 537 |
Patents | Minimum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 3 years |  |
Patents | Maximum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 20 years |  |
Trade name |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 6 years |  |
Gross Amount | $ 4,502 | 4,502 |
Accumulated Amortization | 3,189 | 2,439 |
Other |  |  |
Intangibles-subject to amortization: |  |  |
Gross Amount | 341 | 342 |
Accumulated Amortization | $ 236 | $ 195 |
Other | Minimum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 7 years |  |
Other | Maximum |  |  |
Intangibles-subject to amortization: |  |  |
Useful lives | 20 years |  |

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