Problem
You are playing a video game where you are defending your city from a group of n
monsters. You are given a 0-indexed integer array dist
of size n
, where dist[i]
is the initial distance in kilometers of the ith
monster from the city.
The monsters walk toward the city at a constant speed. The speed of each monster is given to you in an integer array speed
of size n
, where speed[i]
is the speed of the ith
monster in kilometers per minute.
You have a weapon that, once fully charged, can eliminate a single monster. However, the weapon takes one minute to charge. The weapon is fully charged at the very start.
You lose when any monster reaches your city. If a monster reaches the city at the exact moment the weapon is fully charged, it counts as a loss, and the game ends before you can use your weapon.
Return **the *maximum* number of monsters that you can eliminate before you lose, or n
if you can eliminate all the monsters before they reach the city.**
Example 1:
Input: dist = [1,3,4], speed = [1,1,1]
Output: 3
Explanation:
In the beginning, the distances of the monsters are [1,3,4]. You eliminate the first monster.
After a minute, the distances of the monsters are [X,2,3]. You eliminate the second monster.
After a minute, the distances of the monsters are [X,X,2]. You eliminate the thrid monster.
All 3 monsters can be eliminated.
Example 2:
Input: dist = [1,1,2,3], speed = [1,1,1,1]
Output: 1
Explanation:
In the beginning, the distances of the monsters are [1,1,2,3]. You eliminate the first monster.
After a minute, the distances of the monsters are [X,0,1,2], so you lose.
You can only eliminate 1 monster.
Example 3:
Input: dist = [3,2,4], speed = [5,3,2]
Output: 1
Explanation:
In the beginning, the distances of the monsters are [3,2,4]. You eliminate the first monster.
After a minute, the distances of the monsters are [X,0,2], so you lose.
You can only eliminate 1 monster.
Constraints:
n == dist.length == speed.length
1 <= n <= 105
1 <= dist[i], speed[i] <= 105
Solution
/**
* @param {number[]} dist
* @param {number[]} speed
* @return {number}
*/
var eliminateMaximum = function(dist, speed) {
var times = dist.map((d, i) => d / speed[i]).sort((a, b) => a - b);
for (var i = 0; i < times.length; i++) {
if (times[i] <= i) return i;
}
return dist.length;
};
Explain:
nope.
Complexity:
- Time complexity : O(n * log(n)).
- Space complexity : O(n).