## 1167. Minimum Cost to Connect Sticks

You have some number of sticks with positive integer lengths. These lengths are given as an array `sticks`

, where `sticks[i]`

is the length of the `i`

stick.^{th}

You can connect any two sticks of lengths `x`

and `y`

into one stick by paying a cost of `x + y`

. You must connect all the sticks until there is only one stick remaining.

Return *the minimum cost of connecting all the given sticks into one stick in this way*.

**Example 1:**

Input:sticks = [2,4,3]Output:14Explanation:You start with sticks = [2,4,3]. 1. Combine sticks 2 and 3 for a cost of 2 + 3 = 5. Now you have sticks = [5,4]. 2. Combine sticks 5 and 4 for a cost of 5 + 4 = 9. Now you have sticks = [9]. There is only one stick left, so you are done. The total cost is 5 + 9 = 14.

**Example 2:**

Input:sticks = [1,8,3,5]Output:30Explanation:You start with sticks = [1,8,3,5]. 1. Combine sticks 1 and 3 for a cost of 1 + 3 = 4. Now you have sticks = [4,8,5]. 2. Combine sticks 4 and 5 for a cost of 4 + 5 = 9. Now you have sticks = [9,8]. 3. Combine sticks 9 and 8 for a cost of 9 + 8 = 17. Now you have sticks = [17]. There is only one stick left, so you are done. The total cost is 4 + 9 + 17 = 30.

**Example 3:**

Input:sticks = [5]Output:0Explanation:There is only one stick, so you don't need to do anything. The total cost is 0.

**Constraints:**

`1 <= sticks.length <= 10`

^{4}`1 <= sticks[i] <= 10`

^{4}

## Rust Solution

```
struct Solution;
use std::cmp::Reverse;
use std::collections::BinaryHeap;
impl Solution {
fn connect_sticks(sticks: Vec<i32>) -> i32 {
let mut queue: BinaryHeap<Reverse<i32>> = BinaryHeap::new();
let mut res = 0;
for stick in sticks {
queue.push(Reverse(stick));
}
while queue.len() > 1 {
let x = queue.pop().unwrap().0;
let y = queue.pop().unwrap().0;
let z = x + y;
res += z;
queue.push(Reverse(z));
}
res
}
}
#[test]
fn test() {
let sticks = vec![2, 4, 3];
let res = 14;
assert_eq!(Solution::connect_sticks(sticks), res);
let sticks = vec![1, 8, 3, 5];
let res = 30;
assert_eq!(Solution::connect_sticks(sticks), res);
}
```

Having problems with this solution? Click here to submit an issue on github.