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Python 数据结构与算法第一讲

  • 2026-03-23 10:39:01
Python 数据结构与算法第一讲

1. 栈 Stack(先进后出)

图形可视化

入栈 1 → [1]
入栈 2 → [1, 2]
入栈 3 → [1, 2, 3]
出栈   → 弹出 3,剩余 [1, 2]

代码

# 栈可视化
stack = []
print("=== 栈(先进后出)===")

stack.append(1)
print("入栈 1 →", stack)

stack.append(2)
print("入栈 2 →", stack)

stack.append(3)
print("入栈 3 →", stack)

top = stack.pop()
print("出栈   → 弹出", top, "剩余", stack)

2. 队列 Queue(先进先出)

图形可视化

排队:A → B → C
出队:A 先走
剩余:B → C

代码

from collections import deque
print("\n=== 队列(先进先出)===")

q = deque()
q.append("A")
q.append("B")
q.append("C")
print("排队:"" → ".join(q))

first = q.popleft()
print("出队:", first, "先走")
print("剩余:"" → ".join(q))

3. 数组 Array(连续柜子)

图形可视化

数组下标: 0   1   2   3
数据:    [10, 20, 30, 40]
取 下标1 → 20

代码

print("\n=== 数组(连续存储)===")
arr = [10203040]
print("数组下标: 0   1   2   3")
print("数据:   ", arr)
print("取 下标1 →", arr[1])

4. 链表 Linked List(寻宝)

图形可视化

链表:1 → 2 → 3 → None

代码

print("\n=== 链表(一个指一个)===")
classNode:
def__init__(self, val):
        self.val = val
        self.next = None

head = Node(1)
head.next = Node(2)
head.next.next = Node(3)

# 可视化遍历
cur = head
print("链表:", end=" ")
while cur:
    print(cur.val, end=" → ")
    cur = cur.next
print("None")

5. 树 Tree(层级)

图形可视化

    1
   / \
  2   3

代码

print("\n=== 二叉树(层级结构)===")
classTreeNode:
def__init__(self, val):
        self.val = val
        self.left = None
        self.right = None

root = TreeNode(1)
root.left = TreeNode(2)
root.right = TreeNode(3)

print("    1")
print("   / \\")
print("  2   3")

6. 图 Graph(网状)

图形可视化

A ↔ B ↔ D

C

代码

print("\n=== 图(网状连接)===")
graph = {
"A": ["B""C"],
"B": ["A""D"],
"C": ["A"],
"D": ["B"]
}
print("A ↔ B ↔ D")
print("↕")
print("C")

7. 堆 Heap(优先级)

图形可视化

堆:[1, 3, 2]  最小 1 在最顶上
弹出最小值 → 1
弹出最小值 → 2

代码

import heapq
print("\n=== 堆(优先级)===")
heap = []
heapq.heappush(heap, 3)
heapq.heappush(heap, 1)
heapq.heappush(heap, 2)
print("堆:", heap, " 最小 1 在最顶上")
print("弹出最小值 →", heapq.heappop(heap))
print("弹出最小值 →", heapq.heappop(heap))

8. 哈希表 Hash Table(查字典)

图形可视化

哈希表:
name → 小明
age  → 20
city → 北京
查 name → 小明

代码

print("\n=== 哈希表(一键定位)===")
hash_table = {"name""小明""age"20"city""北京"}
print("哈希表:")
for k, v in hash_table.items():
    print(k, "→", v)
print("查 name →", hash_table["name"])

一键运行全部代码

# 8 大数据结构 可视化完整版
print("===== 8 大数据结构可视化 =====\n")

# 1. 栈
stack = []
print("1. 栈(先进后出)")
stack.append(1)
print("入栈 1 →", stack)
stack.append(2)
print("入栈 2 →", stack)
stack.append(3)
print("入栈 3 →", stack)
top = stack.pop()
print("出栈   → 弹出", top, "剩余", stack, "\n")

# 2. 队列
from collections import deque
print("2. 队列(先进先出)")
q = deque(["A""B""C"])
print("排队:"" → ".join(q))
first = q.popleft()
print("出队:", first)
print("剩余:"" → ".join(q), "\n")

# 3. 数组
print("3. 数组(连续存储)")
arr = [10,20,30,40]
print("下标: 0  1  2  3")
print("数据:",arr)
print("取下标1 →", arr[1], "\n")

# 4. 链表
print("4. 链表(一个指一个)")
classNode:
def__init__(self,val):
        self.val=val
        self.next=None
head=Node(1)
head.next=Node(2)
head.next.next=Node(3)
cur=head
print("链表:",end="")
while cur:
    print(cur.val,end="→")
    cur=cur.next
print("None\n")

# 5. 树
print("5. 二叉树(层级)")
print("    1")
print("   / \\")
print("  2   3\n")

# 6. 图
print("6. 图(网状)")
print("A↔B↔D")
print("↓")
print("C\n")

# 7. 堆
import heapq
print("7. 堆(优先级)")
heap=[3,1,2]
heapq.heapify(heap)
print("堆:",heap,"(最小1在顶)")
print("弹出→",heapq.heappop(heap))
print("弹出→",heapq.heappop(heap),"\n")

# 8. 哈希表
print("8. 哈希表(查字典)")
dic={"name":"小明","age":20,"city":"北京"}
for k,v in dic.items():
    print(f"{k:5} → {v}")

总结

  • 栈:从上进出
  • 队列:从头进出
  • 数组:连续编号
  • 链表:一个指一个
  • 树:层级分叉
  • 图:网状连接
  • 堆:优先级排序
  • 哈希表:键值直接查

ps:这里说一下class的用法

# 1. 造模板(class = 模板)
classPerson:
def__init__(self, name):
        self.name = name  # 2. 存属性

# 3. 用模板造人(对象)
p = Person("小明")
print(p.name)  # 输出:小明

class Person:class:我要做一个模板Person:模板名字叫「人」

def __init__(self, name): 造人时自动执行,用来给人设置名字

self.name = nameself = 造出来的这个人自己,把名字存到这个人身上

p = Person("小明") 用模板造一个人,名字叫「小明」

p.name 取出这个人身上的名字

classTreeNode:
def__init__(self, val):
        self.val = val    # 存值
        self.left = None# 左孩子
        self.right = None# 右孩子

node = TreeNode(1)  # 造节点,值=1
print(node.val)     # 输出:1

和 Person 一模一样

  • class = 模板
  • init = 初始化
  • self.xxx = 存属性

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  1. CONNECT:[ UseTime:0.000821s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000758s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000379s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000303s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000609s ]
  6. SELECT * FROM `set` [ RunTime:0.000284s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000663s ]
  8. SELECT * FROM `article` WHERE `id` = 481020 LIMIT 1 [ RunTime:0.000497s ]
  9. UPDATE `article` SET `lasttime` = 1774576562 WHERE `id` = 481020 [ RunTime:0.012991s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000382s ]
  11. SELECT * FROM `article` WHERE `id` < 481020 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000661s ]
  12. SELECT * FROM `article` WHERE `id` > 481020 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000423s ]
  13. SELECT * FROM `article` WHERE `id` < 481020 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000672s ]
  14. SELECT * FROM `article` WHERE `id` < 481020 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.002064s ]
  15. SELECT * FROM `article` WHERE `id` < 481020 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000720s ]
0.119815s