算法 - 栈和队列
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2023-12-01
栈
// java public interface MyStack extends Iterable { MyStack push(Item item); Item pop() throws Exception; boolean isEmpty(); int size(); }
1. 数组实现
// java public class ArrayStack implements MyStack { // 栈元素数组,只能通过转型来创建泛型数组 private Item[] a = (Item[]) new Object[1]; // 元素数量 private int N = 0; @Override public MyStack push(Item item) { check(); a[N++] = item; return this; } @Override public Item pop() throws Exception { if (isEmpty()) { throw new Exception("stack is empty"); } Item item = a[--N]; check(); // 避免对象游离 a[N] = null; return item; } private void check() { if (N >= a.length) { resize(2 * a.length); } else if (N > 0 && N <= a.length="" 4)="" {="" resize(a.length="" 2);="" }="" **="" *="" 调整数组大小,使得栈具有伸缩性="" private="" void="" resize(int="" size)="" item[]="" tmp="(Item[])" new="" object[size];="" for="" (int="" i="0;" <="" n;="" i++)="" tmp[i]="a[i];" a="tmp;" @override="" public="" boolean="" isempty()="" return="" n="=" 0;="" int="" size()="" iterator iterator() { // 返回逆序遍历的迭代器 return new Iterator() { private int i = N; @Override public boolean hasNext() { return i > 0; } @Override public Item next() { return a[--i]; } }; } }
2. 链表实现
需要使用链表的头插法来实现,因为头插法中最后压入栈的元素在链表的开头,它的 next 指针指向前一个压入栈的元素,在弹出元素时就可以通过 next 指针遍历到前一个压入栈的元素从而让这个元素成为新的栈顶元素。
// java public class ListStack implements MyStack { private Node top = null; private int N = 0; private class Node { Item item; Node next; } @Override public MyStack push(Item item) { Node newTop = new Node(); newTop.item = item; newTop.next = top; top = newTop; N++; return this; } @Override public Item pop() throws Exception { if (isEmpty()) { throw new Exception("stack is empty"); } Item item = top.item; top = top.next; N--; return item; } @Override public boolean isEmpty() { return N == 0; } @Override public int size() { return N; } @Override public Iterator iterator() { return new Iterator() { private Node cur = top; @Override public boolean hasNext() { return cur != null; } @Override public Item next() { Item item = cur.item; cur = cur.next; return item; } }; } }
队列
下面是队列的链表实现,需要维护 first 和 last 节点指针,分别指向队首和队尾。
这里需要考虑 first 和 last 指针哪个作为链表的开头。因为出队列操作需要让队首元素的下一个元素成为队首,所以需要容易获取下一个元素,而链表的头部节点的 next 指针指向下一个元素,因此可以让 first 指针链表的开头。
// java public interface MyQueue extends Iterable { int size(); boolean isEmpty(); MyQueue add(Item item); Item remove() throws Exception; }
// java public class ListQueue implements MyQueue { private Node first; private Node last; int N = 0; private class Node { Item item; Node next; } @Override public boolean isEmpty() { return N == 0; } @Override public int size() { return N; } @Override public MyQueue add(Item item) { Node newNode = new Node(); newNode.item = item; newNode.next = null; if (isEmpty()) { last = newNode; first = newNode; } else { last.next = newNode; last = newNode; } N++; return this; } @Override public Item remove() throws Exception { if (isEmpty()) { throw new Exception("queue is empty"); } Node node = first; first = first.next; N--; if (isEmpty()) { last = null; } return node.item; } @Override public Iterator iterator() { return new Iterator() { Node cur = first; @Override public boolean hasNext() { return cur != null; } @Override public Item next() { Item item = cur.item; cur = cur.next; return item; } }; } }