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English Version

题目描述

给定一个长度为 n 的链表 head

对于列表中的每个节点,查找下一个 更大节点 的值。也就是说,对于每个节点,找到它旁边的第一个节点的值,这个节点的值 严格大于 它的值。

返回一个整数数组 answer ,其中 answer[i] 是第 i 个节点( 从1开始 )的下一个更大的节点的值。如果第 i 个节点没有下一个更大的节点,设置 answer[i] = 0 。

 

示例 1:

输入:head = [2,1,5]
输出:[5,5,0]

示例 2:

输入:head = [2,7,4,3,5]
输出:[7,0,5,5,0]

 

提示:

  • 链表中节点数为 n
  • 1 <= n <= 104
  • 1 <= Node.val <= 109

解法

方法一:单调栈

题目要求找到链表中每个节点的下一个更大的节点,即找到链表中每个节点的右边第一个比它大的节点。我们先遍历链表,将链表中的值存入数组 $nums$ 中。那么对于数组 $nums$ 中的每个元素,我们只需要找到它右边第一个比它大的元素即可。求下一个更大的元素的问题可以使用单调栈来解决。

我们从后往前遍历数组 $nums$,维护一个从栈底到栈顶单调递减的栈 $stk$,遍历过程中,如果栈顶元素小于等于当前元素,则循环将栈顶元素出栈,直到栈顶元素大于当前元素或者栈为空。

如果此时栈为空,则说明当前元素没有下一个更大的元素,否则当前元素的下一个更大的元素就是栈顶元素,更新答案数组 $ans$。然后将当前元素入栈,继续遍历。

遍历结束后,返回答案数组 $ans$ 即可。

时间复杂度 $O(n)$,空间复杂度 $O(n)$。其中 $n$ 为链表的长度。

Python3

# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, val=0, next=None):
#         self.val = val
#         self.next = next
class Solution:
    def nextLargerNodes(self, head: Optional[ListNode]) -> List[int]:
        nums = []
        while head:
            nums.append(head.val)
            head = head.next
        stk = []
        n = len(nums)
        ans = [0] * n
        for i in range(n - 1, -1, -1):
            while stk and stk[-1] <= nums[i]:
                stk.pop()
            if stk:
                ans[i] = stk[-1]
            stk.append(nums[i])
        return ans

Java

/**
 * Definition for singly-linked list.
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode() {}
 *     ListNode(int val) { this.val = val; }
 *     ListNode(int val, ListNode next) { this.val = val; this.next = next; }
 * }
 */
class Solution {
    public int[] nextLargerNodes(ListNode head) {
        List<Integer> nums = new ArrayList<>();
        for (; head != null; head = head.next) {
            nums.add(head.val);
        }
        Deque<Integer> stk = new ArrayDeque<>();
        int n = nums.size();
        int[] ans = new int[n];
        for (int i = n - 1; i >= 0; --i) {
            while (!stk.isEmpty() && stk.peek() <= nums.get(i)) {
                stk.pop();
            }
            if (!stk.isEmpty()) {
                ans[i] = stk.peek();
            }
            stk.push(nums.get(i));
        }
        return ans;
    }
}

C++

/**
 * Definition for singly-linked list.
 * struct ListNode {
 *     int val;
 *     ListNode *next;
 *     ListNode() : val(0), next(nullptr) {}
 *     ListNode(int x) : val(x), next(nullptr) {}
 *     ListNode(int x, ListNode *next) : val(x), next(next) {}
 * };
 */
class Solution {
public:
    vector<int> nextLargerNodes(ListNode* head) {
        vector<int> nums;
        for (; head; head = head->next) {
            nums.push_back(head->val);
        }
        stack<int> stk;
        int n = nums.size();
        vector<int> ans(n);
        for (int i = n - 1; ~i; --i) {
            while (!stk.empty() && stk.top() <= nums[i]) {
                stk.pop();
            }
            if (!stk.empty()) {
                ans[i] = stk.top();

            }
            stk.push(nums[i]);
        }
        return ans;
    }
};

Go

/**
 * Definition for singly-linked list.
 * type ListNode struct {
 *     Val int
 *     Next *ListNode
 * }
 */
func nextLargerNodes(head *ListNode) []int {
	nums := []int{}
	for ; head != nil; head = head.Next {
		nums = append(nums, head.Val)
	}
	stk := []int{}
	n := len(nums)
	ans := make([]int, n)
	for i := n - 1; i >= 0; i-- {
		for len(stk) > 0 && stk[len(stk)-1] <= nums[i] {
			stk = stk[:len(stk)-1]
		}
		if len(stk) > 0 {
			ans[i] = stk[len(stk)-1]
		}
		stk = append(stk, nums[i])
	}
	return ans
}

JavaScript

/**
 * Definition for singly-linked list.
 * function ListNode(val, next) {
 *     this.val = (val===undefined ? 0 : val)
 *     this.next = (next===undefined ? null : next)
 * }
 */
/**
 * @param {ListNode} head
 * @return {number[]}
 */
var nextLargerNodes = function (head) {
    const nums = [];
    while (head) {
        nums.push(head.val);
        head = head.next;
    }
    const stk = [];
    const n = nums.length;
    const ans = new Array(n).fill(0);
    for (let i = n - 1; i >= 0; --i) {
        while (stk.length && stk[stk.length - 1] <= nums[i]) {
            stk.pop();
        }
        ans[i] = stk.length ? stk[stk.length - 1] : 0;
        stk.push(nums[i]);
    }
    return ans;
};

TypeScript

/**
 * Definition for singly-linked list.
 * class ListNode {
 *     val: number
 *     next: ListNode | null
 *     constructor(val?: number, next?: ListNode | null) {
 *         this.val = (val===undefined ? 0 : val)
 *         this.next = (next===undefined ? null : next)
 *     }
 * }
 */

function nextLargerNodes(head: ListNode | null): number[] {
    const nums: number[] = [];
    while (head) {
        nums.push(head.val);
        head = head.next;
    }
    const stk: number[] = [];
    const n = nums.length;
    const ans: number[] = new Array(n).fill(0);
    for (let i = n - 1; ~i; --i) {
        while (stk.length && stk[stk.length - 1] <= nums[i]) {
            stk.pop();
        }
        ans[i] = stk.length ? stk[stk.length - 1] : 0;
        stk.push(nums[i]);
    }
    return ans;
}
/**
 * Definition for singly-linked list.
 * class ListNode {
 *     val: number
 *     next: ListNode | null
 *     constructor(val?: number, next?: ListNode | null) {
 *         this.val = (val===undefined ? 0 : val)
 *         this.next = (next===undefined ? null : next)
 *     }
 * }
 */

interface Item {
    index: number;
    val: number;
}

function nextLargerNodes(head: ListNode | null): number[] {
    const res: number[] = [];
    const stack: Item[] = [];
    let cur = head;
    for (let i = 0; cur != null; i++) {
        res.push(0);
        const { val, next } = cur;
        while (stack.length !== 0 && stack[stack.length - 1].val < val) {
            res[stack.pop().index] = val;
        }
        stack.push({
            val,
            index: i,
        });
        cur = next;
    }
    return res;
}

Rust

// Definition for singly-linked list.
// #[derive(PartialEq, Eq, Clone, Debug)]
// pub struct ListNode {
//   pub val: i32,
//   pub next: Option<Box<ListNode>>
// }
//
// impl ListNode {
//   #[inline]
//   fn new(val: i32) -> Self {
//     ListNode {
//       next: None,
//       val
//     }
//   }
// }
struct Item {
    index: usize,
    val: i32,
}

impl Solution {
    pub fn next_larger_nodes(head: Option<Box<ListNode>>) -> Vec<i32> {
        let mut res = Vec::new();
        let mut stack: Vec<Item> = Vec::new();
        let mut cur = &head;
        for i in 0..usize::MAX {
            if cur.is_none() {
                break;
            }
            res.push(0);
            let node = cur.as_ref().unwrap();
            while !stack.is_empty() && stack.last().unwrap().val < node.val {
                res[stack.pop().unwrap().index] = node.val;
            }
            stack.push(Item {
                index: i,
                val: node.val,
            });
            cur = &node.next;
        }
        res
    }
}

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