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给定n个点,其中有一个点是特殊的,要求从中选出四个点组成四面体,满足以下条件:
该问题可以通过以下步骤解决:
#includeusing namespace std;const double inf = 123456789012345.0;const LL MOD = 100000000LL;const int N = 210;#define clc(a, b) memset(a, b, sizeof(a))const double eps = 1e-7;void fre() { freopen("in.txt", "r", stdin); }void freout() { freopen("out.txt", "w", stdout); }inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch > '9' || ch < '0') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f;}struct Point { double x, y, z; Point() {} Point(LL _x, LL _y, LL _z) : x(_x), y(_y), z(_z) {} Point operator+(const Point &t) const { return Point(x + t.x, y + t.y, z + t.z); } Point operator-(const Point &t) const { return Point(x - t.x, y - t.y, z - t.z); } Point operator*(const Point &t) const { return Point(y * t.z - z * t.y, z * t.x - x * t.z, x * t.y - y * t.x); } double operator^(const Point &t) const { return x * t.x + y * t.y + z * t.z; } double len2() { return x * x + y * y + z * z; }};Point p[N];bool check(Point a, Point b, Point c, Point d) { return (((a - b) * (a - c)) ^ (a - d)) == 0.0;}int l[210];int main() { int T; scanf("%d", &T); for (int cas = 1; cas <= T; cas++) { int n, cnt; int ans = 0, tem = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%lf%lf%lf", &p[i].x, &p[i].y, &p[i].z); } // 代码逻辑继续... // (此处省略了具体的计算逻辑) }}
Point结构来存储点的坐标,并实现了基本的点运算,如加法、减法、点乘和叉乘。check函数用于验证四个点是否能构成满足条件的四面体。转载地址:http://ajhfk.baihongyu.com/