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1.   逐行放置策略

皇后的数量和棋盘的行数都为 \(n\) ，因此我们容易得到一个推论：棋盘每行都允许且只允许放置一个皇后。

也就是说，我们可以采取逐行放置策略：从第一行开始，在每行放置一个皇后，直至最后一行结束。

-

图 13-17 所示为 \(4\) 皇后问题的逐行放置过程。受画幅限制，图 13-17 仅展开了第一行的其中一个搜索分支，并且将不满足列约束和对角线约束的方案都进行了剪枝。

+

图 13-17 所示为 4 皇后问题的逐行放置过程。受画幅限制，图 13-17 仅展开了第一行的其中一个搜索分支，并且将不满足列约束和对角线约束的方案都进行了剪枝。

逐行放置策略

图 13-17   逐行放置策略

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4.1   Array

-

An "array" is a linear data structure that operates as a lineup of similar items, stored together in a computer's memory in contiguous spaces. It's like a sequence that maintains organized storage. Each item in this lineup has its unique 'spot' known as an "index". Please refer to Figure 4-1 to observe how arrays work and grasp these key terms.

+

An array is a linear data structure that operates as a lineup of similar items, stored together in a computer's memory in contiguous spaces. It's like a sequence that maintains organized storage. Each item in this lineup has its unique 'spot' known as an index. Please refer to Figure 4-1 to observe how arrays work and grasp these key terms.

Array definition and storage method

Figure 4-1   Array definition and storage method

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4.2   Linked list

Memory space is a shared resource among all programs. In a complex system environment, available memory can be dispersed throughout the memory space. We understand that the memory allocated for an array must be continuous. However, for very large arrays, finding a sufficiently large contiguous memory space might be challenging. This is where the flexible advantage of linked lists becomes evident.

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A "linked list" is a linear data structure in which each element is a node object, and the nodes are interconnected through "references". These references hold the memory addresses of subsequent nodes, enabling navigation from one node to the next.

+

A linked list is a linear data structure in which each element is a node object, and the nodes are interconnected through "references". These references hold the memory addresses of subsequent nodes, enabling navigation from one node to the next.

The design of linked lists allows for their nodes to be distributed across memory locations without requiring contiguous memory addresses.

Linked list definition and storage method

Figure 4-5   Linked list definition and storage method

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As shown in the figure, we see that the basic building block of a linked list is the "node" object. Each node comprises two key components: the node's "value" and a "reference" to the next node.

+

As shown in the figure, we see that the basic building block of a linked list is the node object. Each node comprises two key components: the node's "value" and a "reference" to the next node.