logseq_notes/pages/OJ notes/pages/Leetcode Next-Greater-Element-I.md
2023-06-14 14:27:22 +08:00

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Leetcode Next-Greater-Element-I

2022-07-27 10:55

Data structures:

#DS #stack #hash_table

Difficulty:

#coding_problems #difficulty_easy

Additional tags:

#leetcode

Revisions:

N/A

Problem

The next greater element of some element x in an array is the first greater element that is to the right of x in the same array.

You are given two distinct 0-indexed integer arrays nums1 and nums2, where nums1 is a subset of nums2.

For each 0 <= i < nums1.length, find the index j such that nums1[i] == nums2[j] and determine the next greater element of nums2[j] in nums2. If there is no next greater element, then the answer for this query is -1.

Return an array ans of length nums1.length such that ans[i] is the next greater element as described above.

Examples

Example 1:

Input: nums1 = [4,1,2], nums2 = [1,3,4,2] Output: [-1,3,-1] Explanation: The next greater element for each value of nums1 is as follows:

  • 4 is underlined in nums2 = [1,3,4,2]. There is no next greater element, so the answer is -1.

  • 1 is underlined in nums2 = [1,3,4,2]. The next greater element is 3.

  • 2 is underlined in nums2 = [1,3,4,2]. There is no next greater element, so the answer is -1.

    Example 2:

    Input: nums1 = [2,4], nums2 = [1,2,3,4] Output: [3,-1] Explanation: The next greater element for each value of nums1 is as follows:

  • 2 is underlined in nums2 = [1,2,3,4]. The next greater element is 3.

  • 4 is underlined in nums2 = [1,2,3,4]. There is no next greater element, so the answer is -1.

Constraints

Thoughts

[!summary] This is a problem using the traits of #stack.

This problem can be divided into two sub-problems:

  • given a subset number, return its location in the parent set -> hash table
  • given a array, return the next greater element in the array after it -> stack

How is the stack used?

Stack is FILO, which means, when iterating from the last element, if you push a number greater into it, it will be used last, ideal for finding the next biggest one.

Solution

class Solution {
public:
vector<int> nextGreaterElement(vector<int> &nums1, vector<int> &nums2) {
  // Hash table to link the subsets.
  unordered_map<int, int> greater;
  stack<int> st;

  for (int i = nums2.size() - 1; i >= 0; i--) {
    while (!st.empty() && st.top() < nums2[i]) {
      st.pop();
    }
    if (!st.empty()) {
      greater[nums2[i]] = st.top();
    }

    st.push(nums2[i]);
  }

  // double pointers can't be used, because nums doesn't have a order.
  vector<int> ans(nums1.size());
  for (int i = 0, size1 = nums1.size(); i < size1; i++) {
    if (greater.find(nums1[i]) != greater.end()) {
      ans[i] = greater[nums1[i]];
    } else {
      ans[i] = -1;
    }
  }

  return ans;
}
};