# 生成樹基礎 · 脈衝 R06

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-20261104-r06-spanning-tree-foundations · 2026-10-14 · 100 題

欄序為來源綁定的呈現補充；原始 JSONL 與數學答案不變。

[欄序與來源綁定資料](https://ocme.evemisslab.com/data/i18n/question-output-protocols.json)



## 1. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[3,4]],"selected":[0,1,2,3]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 2, 3], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 2, 3], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0001/)

生成樹 · qf-mod35-spantree-audit · candidate





## 2. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 3, 4], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 3, 4], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0002/)

生成樹 · qf-mod35-spantree-audit · candidate





## 3. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 3, 4], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 3, 4], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0003/)

生成樹 · qf-mod35-spantree-audit · candidate





## 4. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[3,4]],"selected":[0,3,4,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 3, 4, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 3, 4, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0004/)

生成樹 · qf-mod35-spantree-audit · candidate





## 5. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 3, 4], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 3, 4], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0005/)

生成樹 · qf-mod35-spantree-audit · candidate





## 6. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 4, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 4, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0006/)

生成樹 · qf-mod35-spantree-audit · candidate





## 7. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 4, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 4, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0007/)

生成樹 · qf-mod35-spantree-audit · candidate





## 8. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 3, 5, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 3, 5, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0008/)

生成樹 · qf-mod35-spantree-audit · candidate





## 9. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 3, 4], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 3, 4], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0009/)

生成樹 · qf-mod35-spantree-audit · candidate





## 10. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 4, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 4, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0010/)

生成樹 · qf-mod35-spantree-audit · candidate





## 11. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 4, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 4, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0011/)

生成樹 · qf-mod35-spantree-audit · candidate





## 12. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 3, 5, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 3, 5, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0012/)

生成樹 · qf-mod35-spantree-audit · candidate





## 13. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,1,4,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 4, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 4, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0013/)

生成樹 · qf-mod35-spantree-audit · candidate





## 14. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 5, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 5, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0014/)

生成樹 · qf-mod35-spantree-audit · candidate





## 15. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 5, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 5, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0015/)

生成樹 · qf-mod35-spantree-audit · candidate





## 16. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,3,6,7]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 3, 6, 7], 是, 是, 是, 是)

Wave5第四層核對=([0, 3, 6, 7], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0016/)

生成樹 · qf-mod35-spantree-audit · candidate





## 17. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[2,4],[3,4]],"selected":[0,1,2,4]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 2, 4], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 2, 4], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0017/)

生成樹 · qf-mod35-spantree-audit · candidate





## 18. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 3, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 3, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0018/)

生成樹 · qf-mod35-spantree-audit · candidate





## 19. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 3, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 3, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0019/)

生成樹 · qf-mod35-spantree-audit · candidate





## 20. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,3,4,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 3, 4, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 3, 4, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0020/)

生成樹 · qf-mod35-spantree-audit · candidate





## 21. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 3, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 3, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0021/)

生成樹 · qf-mod35-spantree-audit · candidate





## 22. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 4, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 4, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0022/)

生成樹 · qf-mod35-spantree-audit · candidate





## 23. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 2, 4, 6], 是, 是, 是, 是)

Wave5第四層核對=([0, 2, 4, 6], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0023/)

生成樹 · qf-mod35-spantree-audit · candidate





## 24. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,3,5,7]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 3, 5, 7], 是, 是, 是, 是)

Wave5第四層核對=([0, 3, 5, 7], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0024/)

生成樹 · qf-mod35-spantree-audit · candidate





## 25. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-audit；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [selected_indices, parent_connected, selected_connected, selected_acyclic, spanning_tree] 欄序回答。

查看答案與解釋([0, 1, 3, 5], 是, 是, 是, 是)

Wave5第四層核對=([0, 1, 3, 5], 是, 是, 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0025/)

生成樹 · qf-mod35-spantree-audit · candidate





## 26. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[3,4]],"selected":[0,1,2,3]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0026/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 27. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0027/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 28. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0028/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 29. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[3,4]],"selected":[0,3,4,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0029/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 30. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0030/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 31. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0031/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 32. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0032/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 33. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0033/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 34. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0034/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 35. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0035/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 36. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0036/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 37. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0037/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 38. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,1,4,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0038/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 39. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0039/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 40. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0040/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 41. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,3,6,7]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0041/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 42. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[2,4],[3,4]],"selected":[0,1,2,4]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0042/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 43. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0043/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 44. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0044/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 45. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,3,4,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0045/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 46. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0046/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 47. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0047/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 48. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0048/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 49. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,3,5,7]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0049/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 50. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-n-minus-one-certificate；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [vertex_count, selected_edge_count, connected, acyclic, edge_count_is_n_minus_one, spanning_tree, boundary] 欄序回答。

查看答案與解釋(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)

Wave5第四層核對=(5, 4, 是, 是, 是, 是, n_minus_one_alone_insufficient)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0050/)

生成樹 · qf-mod35-spantree-n-minus-one-certificate · candidate





## 51. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":1,"edges":[],"selected":[]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(1, [], 是, 是)

Wave5第四層核對=(1, [], 是, 是)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0051/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 52. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[3,4]],"selected":[0,1,2,3]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 1, 2, 3], 是, 否)

Wave5第四層核對=(5, [0, 1, 2, 3], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0052/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 53. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 3, 4], 是, 否)

Wave5第四層核對=(5, [0, 2, 3, 4], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0053/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 54. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 3, 4], 是, 否)

Wave5第四層核對=(5, [0, 2, 3, 4], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0054/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 55. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[3,4]],"selected":[0,3,4,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 3, 4, 5], 是, 否)

Wave5第四層核對=(5, [0, 3, 4, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0055/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 56. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 1, 3, 4], 是, 否)

Wave5第四層核對=(5, [0, 1, 3, 4], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0056/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 57. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 4, 5], 是, 否)

Wave5第四層核對=(5, [0, 2, 4, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0057/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 58. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 4, 5], 是, 否)

Wave5第四層核對=(5, [0, 2, 4, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0058/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 59. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 3, 5, 6], 是, 否)

Wave5第四層核對=(5, [0, 3, 5, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0059/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 60. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 1, 3, 4], 是, 否)

Wave5第四層核對=(5, [0, 1, 3, 4], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0060/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 61. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 4, 5], 是, 否)

Wave5第四層核對=(5, [0, 2, 4, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0061/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 62. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 4, 5], 是, 否)

Wave5第四層核對=(5, [0, 2, 4, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0062/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 63. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 3, 5, 6], 是, 否)

Wave5第四層核對=(5, [0, 3, 5, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0063/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 64. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,1,4,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 1, 4, 5], 是, 否)

Wave5第四層核對=(5, [0, 1, 4, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0064/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 65. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 5, 6], 是, 否)

Wave5第四層核對=(5, [0, 2, 5, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0065/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 66. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 5, 6], 是, 否)

Wave5第四層核對=(5, [0, 2, 5, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0066/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 67. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,3,6,7]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 3, 6, 7], 是, 否)

Wave5第四層核對=(5, [0, 3, 6, 7], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0067/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 68. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[2,4],[3,4]],"selected":[0,1,2,4]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 1, 2, 4], 是, 否)

Wave5第四層核對=(5, [0, 1, 2, 4], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0068/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 69. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 3, 5], 是, 否)

Wave5第四層核對=(5, [0, 2, 3, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0069/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 70. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 3, 5], 是, 否)

Wave5第四層核對=(5, [0, 2, 3, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0070/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 71. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,3,4,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 3, 4, 6], 是, 否)

Wave5第四層核對=(5, [0, 3, 4, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0071/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 72. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 1, 3, 5], 是, 否)

Wave5第四層核對=(5, [0, 1, 3, 5], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0072/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 73. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 4, 6], 是, 否)

Wave5第四層核對=(5, [0, 2, 4, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0073/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 74. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 2, 4, 6], 是, 否)

Wave5第四層核對=(5, [0, 2, 4, 6], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0074/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 75. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-one-vertex；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,3,5,7]}。請依 [vertex_count, selected_indices, spanning_tree, one_vertex_empty_selection] 欄序回答。

查看答案與解釋(5, [0, 3, 5, 7], 是, 否)

Wave5第四層核對=(5, [0, 3, 5, 7], 是, 否)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0075/)

生成樹 · qf-mod35-spantree-one-vertex · candidate





## 76. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[3,4]],"selected":[0,1,2,3]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0076/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 77. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0077/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 78. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[3,4]],"selected":[0,2,3,4]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0078/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 79. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[3,4]],"selected":[0,3,4,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0079/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 80. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0080/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 81. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0081/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 82. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0082/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 83. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0083/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 84. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[3,4]],"selected":[0,1,3,4]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0084/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 85. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0085/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 86. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,2,4,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0086/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 87. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,4],[2,3],[3,4]],"selected":[0,3,5,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0087/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 88. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,1,4,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0088/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 89. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0089/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 90. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,2,5,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0090/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 91. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[1,4],[2,3],[3,4]],"selected":[0,3,6,7]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0091/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 92. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[2,3],[2,4],[3,4]],"selected":[0,1,2,4]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0092/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 93. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0093/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 94. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,2,3,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0094/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 95. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[2,3],[2,4],[3,4]],"selected":[0,3,4,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0095/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 96. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0096/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 97. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0097/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 98. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,2,4,6]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0098/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 99. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[0,2],[0,3],[1,2],[1,3],[2,3],[2,4],[3,4]],"selected":[0,3,5,7]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0099/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate





## 100. 生成樹

完整finite connected simple parent graph與parent edge subset。操作=spantree-non-mst-boundary；資料={"n":5,"edges":[[0,1],[1,2],[1,4],[2,3],[2,4],[3,4]],"selected":[0,1,3,5]}。請依 [spanning_tree, weighted_minimum_claim, boundary] 欄序回答。

第二個否是不作加權最小生成樹聲稱，不是否證目前樹在某個另加權重模型中的最優性。

查看答案與解釋(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)

Wave5第四層核對=(是, 否, unweighted_spanning_tree_not_minimum_spanning_tree_claim)；依完整明示資料重算；spanning tree含全部vertices且connected acyclic，n-1 alone不足；single vertex合法且不作weighted或minimum claim。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261014-advance-20261104-r06-spanning-tree-0100/)

生成樹 · qf-mod35-spantree-non-mst-boundary · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261104-r06-spanning-tree-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261014-advance-20261104-r06-spanning-tree-foundations/validation-report.json)