数据结构构造一个递增有序的正整数链表，实现链表分解为一个奇数表和一个偶数表，之后再将两个链表合并一个递减链表。

要实现这个功能，首先我们需要设计一个数据结构来存储正整数链表，并将其分为奇数链表和偶数链表。我们可以创建两个单向链表，一个专门用于存储奇数节点，另一个用于存储偶数节点。每个节点包含一个整数值和一个指向下一个节点的指针。

class Node:
    def __init__(self, value):
        self.value = value
        self.next = None

class IncrementalList:
    def __init__(self):
        self.head = None
        self.is_even = False

    def add(self, value):
        new_node = Node(value)
        if not self.head:
            self.head = new_node
            self.is_even = value % 2 == 0
        else:
            current = self.head
            while current.next and (current.is_even != value % 2 or (value % 2 == 0 and current.value > value) or (value % 2 == 1 and current.value < value)):
                current = current.next
            new_node.next = current.next
            current.next = new_node

    # 分解为奇数链表和偶数链表
    def split(self):
        odd_list, even_list = [], []
        current = self.head
        while current:
            next_even = current.next if current.is_even else None
            next_odd = current.next if not current.is_even else None
            current.next = None
            if current.is_even:
                even_list.append(current)
            else:
                odd_list.append(current)
            current = next_even or next_odd
        return odd_list, even_list

    # 合并为递减链表
    @staticmethod
    def merge(odd_list, even_list):
        odd_tail = None
        for node in reversed(odd_list):
            if odd_tail:
                odd_tail.next = node
            else:
                odd_head = node
            odd_tail = node
        even_tail = None
        for node in reversed(even_list):
            if even_tail:
                even_tail.next = node
            else:
                even_head = node
            even_tail = node

        merged_list = odd_head
        if odd_head and even_head:
            odd_tail.next = even_head
        tail = even_tail or odd_tail
        return merged_list, tail

# 示例
incremental_list = IncrementalList()
incremental_list.add(1)
incremental_list.add(2)
incremental_list.add(3)
incremental_list.add(4)
incremental_list.add(5)

odd_list, even_list = incremental_list.split()
merged_list, merged_tail = IncrementalList.merge(odd_list, even_list)

# 查看结果
current = merged_list
while current:
    print(current.value)
    current = current.next