#2593
Medium Algorithms Find score of an array after marking all elements
Array Hash Table Sorting Heap (Priority Queue) Simulation
64.5% acceptance
Feb 25, 2026
940
22
You are given an array nums consisting of positive integers.
Starting with score = 0, apply the following algorithm:
Choose the smallest integer of the array that is not marked. If there is a tie, choose the one with the smallest index.
Add the value of the chosen integer to score.
Mark the chosen element and its two adjacent elements if they exist.
Repeat until all the array elements are marked.
Return the score you get after applying the above algorithm.
Solution
Rust
Time O(n log n)
Space O(n)
impl Solution {
pub fn find_score(nums: Vec<i32>) -> i64 {
// Algorithm: always pick smallest unmarked element (ties: smallest index),
// add to score, mark it and its two adjacent elements.
// Use a min-heap of (value, index).
use std::collections::BinaryHeap;
use std::cmp::Reverse;
let n = nums.len();
let mut heap: BinaryHeap<Reverse<(i32, usize)>> = (0..n)
.map(|i| Reverse((nums[i], i)))
.collect();
let mut marked = vec![false; n];
let mut score = 0i64;
while let Some(Reverse((val, i))) = heap.pop() {
if marked[i] { continue; }
score += val as i64;
marked[i] = true;
if i > 0 { marked[i - 1] = true; }
if i + 1 < n { marked[i + 1] = true; }
}
score
}
}