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#include <stdio.h>
#include <stdlib.h>
typedef struct {
double x, y;
} Point;
int comparePoints(const void* a, const void* b) {
Point* p1 = (Point*)a;
Point* p2 = (Point*)b;
if (p1->x != p2->x) {
if (p1->x < p2->x) return -1;
return 1;
}
if (p1->y < p2->y) return -1;
if (p1->y > p2->y) return 1;
return 0;
}
double cross_product(Point a, Point b, Point c) {
return (b.x - a.x) * (c.y - a.y) - (b.y - a.y) * (c.x - a.x);
}
int main() {
FILE* fin = fopen("infasuratoare.in", "r");
FILE* fout = fopen("infasuratoare.out", "w");
int n;
if (fscanf(fin, "%d", &n) != 1) {
return 0;
}
Point* pts = (Point*)malloc(n * sizeof(Point));
for (int i = 0; i < n; ++i) {
fscanf(fin, "%lf %lf", &pts[i].x, &pts[i].y);
}
qsort(pts, n, sizeof(Point), comparePoints);
Point* lower = (Point*)malloc(n * sizeof(Point));
int lower_size = 0;
for (int i = 0; i < n; ++i) {
while (lower_size >= 2 && cross_product(lower[lower_size - 2], lower[lower_size - 1], pts[i]) <= 1e-11) {
lower_size--;
}
lower[lower_size++] = pts[i];
}
Point* upper = (Point*)malloc(n * sizeof(Point));
int upper_size = 0;
for (int i = n - 1; i >= 0; --i) {
while (upper_size >= 2 && cross_product(upper[upper_size - 2], upper[upper_size - 1], pts[i]) <= 1e-11) {
upper_size--;
}
upper[upper_size++] = pts[i];
}
lower_size--;
upper_size--;
int hull_size = lower_size + upper_size;
fprintf(fout, "%d\n", hull_size);
for (int i = 0; i < lower_size; ++i) {
fprintf(fout, "%.6f %.6f\n", lower[i].x, lower[i].y);
}
for (int i = 0; i < upper_size; ++i) {
fprintf(fout, "%.6f %.6f\n", upper[i].x, upper[i].y);
}
free(pts);
free(lower);
free(upper);
fclose(fin);
fclose(fout);
return 0;
}