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请不要想复杂了,对付最近点对最好的办法永远是旋转坐标系+O(n^2)暴力附赠代码 #include <cmath> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; int T; const double ran = 115.15215; struct vec { double x, y; } ; vec operator - (vec a, vec b) { return (vec) { a.x - b.x, a.y - b.y } ; } double dis(vec a) { return sqrt(a.x * a.x + a.y * a.y); } vec rota(vec a, double b) { return (vec) { cos(b) * a.x - sin(b) * a.y, sin(b) * a.x + cos(b) * a.y }; } bool cmp(const vec &a, const vec &b) { return a.x == b.x ? a.y < b.y : a.x < b.x; } vec a[100010]; vec b[100010]; int n; int main() { freopen("3714.in", "r", stdin); freopen("3714.out", "w", stdout); scanf("%d", &T); while (T--) { double ans = 1e11; scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%lf%lf", &a[i].x, &a[i].y); rota(a[i], ran); } for (int i = 1; i <= n; ++i) { scanf("%lf%lf", &b[i].x, &b[i].y); rota(b[i], ran); } sort(a + 1, a + n + 1, cmp); sort(b + 1, b + n + 1, cmp); int t = 1; for (int i = 1; i <= n; ++i) { while (t < n && cmp(a[t + 1], b[i])) ++t; for (int j = t; j <= n; ++j) { if (fabs(a[j].x - b[i].x) > ans) break; ans = min(ans, dis(a[j] - b[i])); } for (int j = t - 1; j; --j) { if (fabs(a[j].x - b[i].x) > ans) break; ans = min(ans, dis(a[j] - b[i])); } } printf("%.3f\n", ans); } return 0; } Followed by:
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