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Intangible assets, net (Tables) | 12 Months Ended
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Dec. 31, 2023
Intangible assets, net |
Schedule of intangible assets | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | As of December 31, 2022
​ | ​ | Weighted |  | ​ |  | ​ |  | ​
​ | ​ | average | ​ | Gross | ​ | ​ | ​ | Net
​ | ​ | amortization | ​ | carrying | ​ | Accumulated | ​ | carrying
​ | ​ | period | ​ | amount | ​ | amortization | ​ | amount
​ | ​ | Year | ​ | RMB | ​ | RMB | ​ | RMB
Software |  | 4.9 |  | 37,055 |  | (18,378) |  | 18,677
Customer relationship |  | 10.0 |  | 7,736 |  | (2,600) |  | 5,136
Trademarks |  | 10.0 |  | 462 |  | (337) |  | 125
Patent right |  | 10.0 |  | 142 |  | (29) |  | 113
Total |  | 5.7 |  | 45,395 |  | (21,344) |  | 24,051
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | As of December 31, 2023
​ | ​ | Weighted |  | ​ |  | ​ |  | ​
​ | ​ | average | ​ | Gross | ​ | ​ | ​ | Net
​ | ​ | amortization | ​ | carrying | ​ | Accumulated | ​ | carrying
​ | ​ | period | ​ | amount | ​ | amortization | ​ | amount
​ | ​ | Year | ​ | RMB | ​ | RMB | ​ | RMB
Software |  | 3.7 |  | 42,715 |  | (27,482) |  | 15,233
Customer relationship |  | 6.0 |  | 7,735 |  | (3,364) |  | 4,371
Trademarks |  | 10.0 |  | 623 |  | (361) |  | 262
Patent right |  | 10.0 |  | 282 |  | (52) |  | 230
Total |  | 5.0 |  | 51,355 |  | (31,259) |  | 20,096
Schedule of amortization expenses related to the intangible assets for future periods | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Year ended December 31,
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 2028 and | ​ | ​
​ |  | 2024 |  | 2025 |  | 2026 |  | 2027 |  | thereafter |  | Total
​ | ​ | RMB | ​ | RMB | ​ | RMB | ​ | RMB | ​ | RMB | ​ | RMB
Amortization expenses |  | 6,712 |  | 6,329 |  | 3,313 |  | 1,610 |  | 2,132 |  | 20,096
​

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