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.
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).
Input: points = [[1,2],[3,4],[5,6],[7,8]] Output: 4
Input: points = [[1,2],[2,3],[3,4],[4,5]] Output: 2
1 <= points.length <= 104
points[i].length == 2
-231 <= xstart < xend <= 231 - 1
# @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
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
}
}