Math Problem Statement
有一间房间,坐标为(10,50) (50,50) (10,20) (50,20),其中布置了5个摄像头(10,50) (41,50)(50,35)(13,20)(50,24),假设每个摄像头有效监测半径为20米,想要尽可能监控面积覆盖整个房间,同时尽可能少的调度摄像头,该调度哪几个摄像头?(遵循贪心算法:每次都选择能覆盖最多房间面积的摄像头,当选择一个摄像头后,将其监控的范围设置为已监控范围,继续选择能覆盖最多剩余未监控面积的摄像头,直到添加剩余的摄像头所增加的已监控范围不超过整个房间的5%,则停止计算,输出被选择的摄像头集合)
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Circle and Rectangle Intersection
Formulas
Area of circle
Intersection area of circle and rectangle
Theorems
Greedy algorithm for coverage problems
Suitable Grade Level
Advanced Mathematics
Related Recommendation
Optimal Camera Placement Problem in a Room with Given Coordinates
Optimizing Camera Coverage in a Room Using Geometry
Find the Value of x in Geometric Optimization Problems
Maximizing the Area of a Rectangular Garden with 200 Meters of Fence
Optimize Antenna Position in 3D Space Using Centroid Calculation