数据结构单链表实现多项式相加代码

数据结构单链表可以用于实现多项式的加法，主要是通过存储多项式的系数和指数（通常用数组表示）。以下是一个简单的Python示例，假设我们有一个节点类`Node`，用于存储一个系数和指数：

class Node:
    def __init__(self, coefficient=0, exponent=0):
        self.coefficient = coefficient
        self.exponent = exponent
        self.next = None

class PolynomialList:
    def __init__(self):
        self.head = None

    def add_term(self, coefficient, exponent):
        new_node = Node(coefficient, exponent)
        if not self.head:
            self.head = new_node
        else:
            current = self.head
            while current.next and current.next.exponent > exponent:
                current = current.next
            current.next = new_node
            if current.next is None or current.next.exponent == exponent:
                current.next.exponent += 1

def add_polynomials(list1, list2):
    sum_list = PolynomialList()
    current1 = list1.head
    current2 = list2.head
    carry = 0

    while current1 or current2:
        coeff1 = carry
        if current1:
            coeff1 += current1.coefficient
            current1 = current1.next
        if current2:
            coeff2 = current2.coefficient
            current2 = current2.next

        sum_coeff = coeff1 + coeff2
        carry = sum_coeff // (exponent + 1) if sum_coeff >= 10 else 0
        sum_list.add_term(sum_coeff % 10, max(current1.exponent, current2.exponent) if current1 and current2 else max(current1.exponent, 0))

    if carry > 0:
        sum_list.add_term(carry, 0)

    return sum_list

# 示例
list1 = PolynomialList()
list1.add_term(3, 1)
list1.add_term(5, 2)

list2 = PolynomialList()
list2.add_term(2, 0)
list2.add_term(4, 1)

result = add_polynomials(list1, list2)

在这个例子中，`add_polynomials`函数会合并两个多项式列表，处理进位并在每个节点添加适当的系数。