# 開覆蓋與子覆蓋基礎 · 脈衝 R03

本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。

本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。

batch-20261014-advance-20261101-r03-open-cover-and-subcover-foundations · 2026-10-14 · 100 題



## 1. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0001/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 2. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0002/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 3. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0003/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 4. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0004/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 5. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0005/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 6. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0006/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 7. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0007/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 8. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0008/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 9. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0009/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 10. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0010/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 11. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0011/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 12. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0012/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 13. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0013/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 14. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0014/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 15. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0015/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 16. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0016/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 17. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0017/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 18. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0018/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 19. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0019/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 20. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0020/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 21. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0021/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 22. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0022/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 23. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0023/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 24. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0024/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 25. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-audit；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]]}。請依 [invalid_open_indexes,covered_union,covers_target,valid_open_cover] 欄序回答。

查看答案與解釋([], [0, 1, 2, 3, 4], 是, 是)

Wave5根節點核對=([], [0, 1, 2, 3, 4], 是, 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0025/)

開覆蓋與子覆蓋 · qf-mod32-cover-audit · candidate





## 26. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0026/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 27. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)

Wave5根節點核對=([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0027/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 28. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0028/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 29. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)

Wave5根節點核對=([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0029/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 30. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)

Wave5根節點核對=([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0030/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 31. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)

Wave5根節點核對=([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0031/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 32. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0032/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 33. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)

Wave5根節點核對=([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0033/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 34. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0034/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 35. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)

Wave5根節點核對=([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0035/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 36. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)

Wave5根節點核對=([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0036/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 37. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)

Wave5根節點核對=([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0037/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 38. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0038/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 39. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)

Wave5根節點核對=([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0039/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 40. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0040/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 41. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)

Wave5根節點核對=([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0041/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 42. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)

Wave5根節點核對=([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0042/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 43. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)

Wave5根節點核對=([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0043/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 44. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)

Wave5根節點核對=([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0044/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 45. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)

Wave5根節點核對=([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0045/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 46. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)

Wave5根節點核對=([1], [[0, 1, 2, 4]], [0, 1, 2, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0046/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 47. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)

Wave5根節點核對=([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0047/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 48. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)

Wave5根節點核對=([1], [[0, 1, 3, 4]], [0, 1, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0048/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 49. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)

Wave5根節點核對=([1], [[0, 2, 3, 4]], [0, 2, 3, 4], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0049/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 50. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-subcover-audit；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,selected_sets,covered_union,valid_subcover] 欄序回答。

查看答案與解釋([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)

Wave5根節點核對=([1], [[0, 1, 2, 3]], [0, 1, 2, 3], 是)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0050/)

開覆蓋與子覆蓋 · qf-mod32-cover-subcover-audit · candidate





## 51. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0051/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 52. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0052/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 53. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0053/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 54. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0054/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 55. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0055/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 56. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0056/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 57. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0057/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 58. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0058/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 59. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0059/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 60. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0060/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 61. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0061/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 62. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0062/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 63. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0063/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 64. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0064/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 65. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0065/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 66. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0066/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 67. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0067/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 68. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0068/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 69. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0069/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 70. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0070/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 71. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0071/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 72. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0072/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 73. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0073/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 74. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0074/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 75. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-minimal-subcover；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,removal_rows,inclusion_minimal,boundary] 欄序回答。

查看答案與解釋([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)

Wave5根節點核對=([1], 是, [[1, [], 否]], 是, inclusion_minimal_not_minimum_cardinality)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0075/)

開覆蓋與子覆蓋 · qf-mod32-cover-minimal-subcover · candidate





## 76. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0076/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 77. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0077/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 78. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0078/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 79. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0079/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 80. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,1],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0080/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 81. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,1],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,1],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0081/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 82. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0082/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 83. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,1,2],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0083/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 84. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,2],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0084/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 85. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0085/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 86. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,2],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0086/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 87. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,2],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,2],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0087/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 88. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0088/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 89. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,1,3],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0089/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 90. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,3],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0090/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 91. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,2,3],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0091/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 92. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,3],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0092/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 93. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,3],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,3],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0093/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 94. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0094/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 95. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,1,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0095/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 96. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,1,2,4],[0,1,2,3,4]],"target":[0,1,2,4],"cover":[[0,4],[0,1,2,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0096/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 97. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,2,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0097/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 98. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,1,3,4],[0,1,2,3,4]],"target":[0,1,3,4],"cover":[[0,4],[0,1,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0098/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 99. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[0],[0,4],[0,3,4],[0,2,3,4],[0,1,2,3,4]],"target":[0,2,3,4],"cover":[[0,4],[0,2,3,4],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0099/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate





## 100. 開覆蓋與子覆蓋

完整有限拓撲、目標集合與原始cover family。操作=cover-single-cover-boundary；資料={"n":5,"topology":[[],[1],[0,1],[0,1,2],[0,1,2,3],[0,1,2,3,4]],"target":[0,1,2,3],"cover":[[0,1],[0,1,2,3],[0,1,2,3,4]],"selected":[1]}。請依 [selected_indexes,valid_subcover,proves_compactness,boundary] 欄序回答。

查看答案與解釋([1], 是, 否, one_finite_subcover_does_not_prove_compactness)

Wave5根節點核對=([1], 是, 否, one_finite_subcover_does_not_prove_compactness)；依完整明示資料重算；每個cover成員須開且聯集包含目標；subcover只能選原成員；一個有限subcover不證空間compact。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261101-r03-open-cover-and-subcover-0100/)

開覆蓋與子覆蓋 · qf-mod32-cover-single-cover-boundary · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261101-r03-open-cover-and-subcover-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261101-r03-open-cover-and-subcover-foundations/validation-report.json)