currently my code is: #define _CRT_SECURE_NO_WARNINGS\ #include \ #include \ \ #ifndef M_PI\ #define M_PI 3.14159265358979323846\ #endif\ \ #define MAXN 500100\ \ typedef struct {\ double angle, start, end;\ int people;\ } Group;\ \ Group groups[MAXN];\ Group aux[MAXN]; // Auxiliary array for merge sort\ \ void merge(int l, int m, int r) {\ int i, j, k;\ for (i = l; i max_gap) max_gap = gap;\ }\ \ printf("%d\ %.4f\ ", min_people, max_gap);\ return 0;\ } I need the output logic to be calculated correctly. Currently my input is: "4 91\ 0 5 3\ 10 0 5\ -4 0 12 \ 0 -3 4

Background Story Your movie theater is trying out a new projector. The projection will be in the center of a circular room and will project a movie onto a part of the wall. The screen will project a sector of light at some angle width which comes at some default value, but can be updated based on a setting. The projector can be rotated such that the projection starts at any angle in the room. However, you have several locations that groups of people have decided to stand at in the room. These groups of people are relatively small compared to the distance they are from the projector and can be treated as points with 0 radius. Although the projection won't be disturbed by our infinitely thin customers, the light emitted from the projector does have some potential to damage organic entities. You want to answer 2 main questions 1. What is the least number of people that will be in the projection assuming we choose the optimal projection location assuming the angle of projection is at the default setting? 2. What is the largest possible angle of projection that can be used such that no one is in the will stand in the projection? Problem Given the locations and number of people in the groups, find the least number of people that are required to be in some sector defined by a center and an angle. Additionally, determine the largest angle that can be used such that no one is in the projection