#2454
Hard Algorithms Next greater element iv
Array Binary Search Stack Sorting Heap (Priority Queue) Monotonic Stack
41.5% acceptance
Feb 25, 2026
749
12
You are given a 0-indexed array of non-negative integers nums. For each integ
er in nums, you must find its respective second greater integer. * The second greater integer of nums[i] is nums[j] such that:
j > i
nums[j] > nums[i]
There exists exactly one index k such that nums[k] > nums[i] and i < k < j.
If there is no such nums[j], the second greater integer is considered to be -
1. * For example, in the array [1, 2, 4, 3], the second greater integer of 1 is 4,
2 is 3, and that of 3 and 4 is -1. * Return an integer array answer, where answer[i] is the second greater integer
of nums[i]. *
Solution
Rust
Time O(n²)
Space O(n)
impl Solution {
pub fn second_greater_element(nums: Vec<i32>) -> Vec<i32> {
let n = nums.len();
let mut ans = vec![-1i32; n];
// s1: indices waiting for first greater
// s2: indices that found first greater, waiting for second
let mut s1: Vec<usize> = Vec::new();
let mut s2: Vec<usize> = Vec::new();
for i in 0..n {
// Process s2: elements that already found first greater, now check second
let mut tmp: Vec<usize> = Vec::new();
while s2.last().map(|&j| nums[j] < nums[i]).unwrap_or(false) {
let j = s2.pop().unwrap();
ans[j] = nums[i];
}
// Process s1: elements that haven't found first greater yet
while s1.last().map(|&j| nums[j] < nums[i]).unwrap_or(false) {
tmp.push(s1.pop().unwrap());
}
// Elements in tmp found their first greater (nums[i]), now need second greater
// Insert into s2 in correct order (s2 is also decreasing by value)
while !tmp.is_empty() {
s2.push(tmp.pop().unwrap());
}
s1.push(i);
}
ans
}
}