605. Sequence Reconstruction

Description

Check whether the original sequence?org?can be uniquely reconstructed from the sequences in?seqs. The org sequence is a permutation of the integers from 1 to n, with 1 ≤ n ≤ 10^4. Reconstruction means building a shortest common supersequence of the sequences in?seqs?(i.e., a shortest sequence so that all sequences in?seqs?are subsequences of it). Determine whether there is only one sequence that can be reconstructed from?seqs?and it is the?org?sequence.

Example

Example 1:

Input:org = [1,2,3], seqs = [[1,2],[1,3]]

Output: false

Explanation:

[1,2,3] is not the only one sequence that can be reconstructed, because [1,3,2] is also a valid sequence that can be reconstructed.

Example 2:

Input: org = [1,2,3], seqs = [[1,2]]

Output: false

Explanation:

The reconstructed sequence can only be [1,2].

Example 3:

Input: org = [1,2,3], seqs = [[1,2],[1,3],[2,3]]

Output: true

Explanation:

The sequences [1,2], [1,3], and [2,3] can uniquely reconstruct the original sequence [1,2,3].

Example 4:

Input:org = [4,1,5,2,6,3], seqs = [[5,2,6,3],[4,1,5,2]]

Output:true

思路:

剛開始看題可能比較糊涂,最后會發(fā)現(xiàn)實(shí)際上是判斷org是否是seqs的唯一拓?fù)渑判颍?就轉(zhuǎn)換成BFS求拓?fù)渑判虻膯栴}, 難點(diǎn)就是如何構(gòu)件圖及獲得每個(gè)點(diǎn)的入度, 這個(gè)題先得到了每個(gè)點(diǎn)后續(xù)的點(diǎn),并且用set排除了重復(fù)的可能, 然后根據(jù)這個(gè)信息去計(jì)算入度。

還要注意是否存在唯一拓?fù)湫虻臈l件是隊(duì)列中是否永遠(yuǎn)只有一個(gè)點(diǎn),即不存在分叉。

還有結(jié)構(gòu)化的編程會讓代碼可讀性增強(qiáng)。

代碼:


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