LeetCode算法题目:Merge k Sorted Lists
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题目:
Merge k sorted linked lists and return it as one sorted list. Analyze and describe its complexity.
分析:
分治法 (Divide and Conquer Approach),简单来说就是不停的对半划分,比如k个链表先划分为合并两个k/2个链表的任务,再不停的往下划分,直到划分成只有一个或两个链表的任务,开始合并。
代码:
/** * Definition for singly-linked list. * struct ListNode { * int val; * ListNode *next; * ListNode(int x) : val(x), next(NULL) {} * }; */class Solution {public: ListNode *mergeKLists(vector<ListNode *> &lists) { if (lists.size() == 0) return NULL; int n = lists.size(); while (n > 1) { int k = (n + 1) / 2; for (int i = 0; i < n / 2; ++i) { lists[i] = mergeTwoLists(lists[i], lists[i + k]); } n = k; } return lists[0]; } ListNode *mergeTwoLists(ListNode *l1, ListNode *l2) { ListNode *head = new ListNode(-1); ListNode *cur = head; while (l1 && l2) { if (l1->val < l2->val) { cur->next = l1; l1 = l1->next; } else { cur->next = l2; l2 = l2->next; } cur = cur->next; } if (l1) cur->next = l1; if (l2) cur->next = l2; return head->next; }};
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