生成全部列表分割
全新函数 FoldPair 和 FoldPairList 可同时映射输出函数和状态更新函数.
选取长度为 5 的列表进行分割.
In[1]:=
![Click for copyable input](assets.zh/generate-all-partitions-of-a-list/In_59.png)
list = {a, b, c, d, e};
用 FoldPairList 和 TakeDrop 生成以下长度的分割.
In[2]:=
![Click for copyable input](assets.zh/generate-all-partitions-of-a-list/In_60.png)
lengths = {2, 2, 1};
FoldPairList[TakeDrop, list, lengths]
Out[2]=
![](assets.zh/generate-all-partitions-of-a-list/O_63.png)
为构建所有分割,找出数字 5 的所有可能分解.
In[3]:=
![Click for copyable input](assets.zh/generate-all-partitions-of-a-list/In_61.png)
lengthsAll = Flatten[Permutations /@ IntegerPartitions[5], 1]
Out[3]=
![](assets.zh/generate-all-partitions-of-a-list/O_64.png)
In[4]:=
![Click for copyable input](assets.zh/generate-all-partitions-of-a-list/In_62.png)
FoldPairList[TakeDrop, list, #] & /@ lengthsAll // Column
Out[4]=
![](assets.zh/generate-all-partitions-of-a-list/O_65.png)