Formatted question description: https://leetcode.ca/all/2126.html

# 2126. Destroying Asteroids (Medium)

You are given an integer `mass`

, which represents the original mass of a planet. You are further given an integer array `asteroids`

, where `asteroids[i]`

is the mass of the `i`

asteroid.^{th}

You can arrange for the planet to collide with the asteroids in **any arbitrary order**. If the mass of the planet is **greater than or equal to** the mass of the asteroid, the asteroid is **destroyed** and the planet **gains** the mass of the asteroid. Otherwise, the planet is destroyed.

Return `true`

* if all asteroids can be destroyed. Otherwise, return *

`false`

*.*

**Example 1:**

Input:mass = 10, asteroids = [3,9,19,5,21]Output:trueExplanation:One way to order the asteroids is [9,19,5,3,21]: - The planet collides with the asteroid with a mass of 9. New planet mass: 10 + 9 = 19 - The planet collides with the asteroid with a mass of 19. New planet mass: 19 + 19 = 38 - The planet collides with the asteroid with a mass of 5. New planet mass: 38 + 5 = 43 - The planet collides with the asteroid with a mass of 3. New planet mass: 43 + 3 = 46 - The planet collides with the asteroid with a mass of 21. New planet mass: 46 + 21 = 67 All asteroids are destroyed.

**Example 2:**

Input:mass = 5, asteroids = [4,9,23,4]Output:falseExplanation:The planet cannot ever gain enough mass to destroy the asteroid with a mass of 23. After the planet destroys the other asteroids, it will have a mass of 5 + 4 + 9 + 4 = 22. This is less than 23, so a collision would not destroy the last asteroid.

**Constraints:**

`1 <= mass <= 10`

^{5}`1 <= asteroids.length <= 10`

^{5}`1 <= asteroids[i] <= 10`

^{5}

**Similar Questions**:

## Solution 1. Sorting

```
// OJ: https://leetcode.com/problems/destroying-asteroids/
// Time: O(NlogN)
// Space: O(1)
class Solution {
public:
bool asteroidsDestroyed(int mass, vector<int>& A) {
long m = mass;
sort(begin(A), end(A));
for (int n : A) {
if (m < n) return false;
m += n;
}
return true;
}
};
```

We can also use the constraint that `asteroids[i] <= 10^5`

to return earlier.

```
// OJ: https://leetcode.com/problems/destroying-asteroids/
// Time: O(NlogN)
// Space: O(1)
class Solution {
public:
bool asteroidsDestroyed(int mass, vector<int>& A) {
sort(begin(A), end(A));
for (int n : A) {
if (mass < n) return false;
if (mass >= 1e5) return true;
mass += n;
}
return true;
}
};
```