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452. Minimum Number of Arrows to Burst Balloons

There are some spherical balloons spread in two-dimensional space. For each balloon, provided input is the start and end coordinates of the horizontal diameter. Since it's horizontal, y-coordinates don't matter, and hence the x-coordinates of start and end of the diameter suffice. The start is always smaller than the end.

An arrow can be shot up exactly vertically from different points along the x-axis. A balloon with xstart and xend bursts by an arrow shot at x if xstart ≤ x ≤ xend. There is no limit to the number of arrows that can be shot. An arrow once shot keeps traveling up infinitely.

Given an array points where points[i] = [xstart, xend], return the minimum number of arrows that must be shot to burst all balloons.

Example 1:

Input: points = [[10,16],[2,8],[1,6],[7,12]]
Output: 2
Explanation: One way is to shoot one arrow for example at x = 6 (bursting the balloons [2,8] and [1,6]) and another arrow at x = 11 (bursting the other two balloons).

Example 2:

Input: points = [[1,2],[3,4],[5,6],[7,8]]
Output: 4

Example 3:

Input: points = [[1,2],[2,3],[3,4],[4,5]]
Output: 2

Constraints:

  • 1 <= points.length <= 104
  • points[i].length == 2
  • -231 <= xstart < xend <= 231 - 1

Solutions (Ruby)

1. Sort

# @param {Integer[][]} points
# @return {Integer}
def find_min_arrow_shots(points)
  points.sort_by! { |p| p[1] }
  x = points[0][1]
  ret = 1

  (1...points.size).each do |i|
    if points[i][0] > x
      x = points[i][1]
      ret += 1
    end
  end

  ret
end

Solutions (Rust)

1. Sort

impl Solution {
    pub fn find_min_arrow_shots(mut points: Vec<Vec<i32>>) -> i32 {
        points.sort_unstable_by_key(|p| p[1]);
        let mut x = points[0][1];
        let mut ret = 1;

        for i in 1..points.len() {
            if points[i][0] > x {
                x = points[i][1];
                ret += 1;
            }
        }

        ret
    }
}