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LeetCode -- Minimum Number of Arrows to Burst Balloons

2019-11-08 02:11:02
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題目描述:There are a number of 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. Start is always smaller than end. There will be at most 104 balloons.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 travelling up infinitely. The problem is to find the minimum number of arrows that must be shot to burst all balloons.Example:Input:[[10,16], [2,8], [1,6], [7,12]]Output:2Explanation: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).用最少數量的箭打完氣球。氣球的輸入以二維數組point[,]表示,其中氣球points[i,0]和points[i,1]表示氣球橫坐標的起始位置。實現思路:對氣球位置進行排序,從左向右依次打,每次以當前氣球最右邊的橫坐標進行射擊。遍歷每個氣球,如果當前氣球沒被打中,更新氣球射擊位置。實現代碼:
public class Solution {    public int FindMinArrowShots(int[,] points)     {        if(points == null){            return 0;        }        var len = points.GetLength(0);    	if(len == 0){    	    return 0;    	}    	    	var balls = new List<Balloon>(len);    	for (var i = 0;i < len; i++){    		balls.Add(new Balloon(points[i,0], points[i,1]));    	}    	    	balls = balls.OrderBy(x=>x.X1).ThenBy(x=>x.X2).ToList();    	//Console.WriteLine(balls);    	var bulletCount = 1;    	var selection = balls.First();    	var bulletX = selection.X2;    	for (var i = 1;i < balls.Count; i++){    		if(balls[i].X1 <= bulletX){    			bulletX = Math.Min(bulletX, balls[i].X2);    		}else{    			bulletX = balls[i].X2;    			bulletCount++;    		}    	}    	    	//Console.WriteLine(balls);    	    	    	return bulletCount;    }        public class Balloon{    	public int X1;    	public int X2;    	public Balloon(int x1, int x2){    		X1 = x1;    		X2 = x2;    	}    }}
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