题意
求 $F(x) = 6 * x^7+8*x^6+7*x^3+5*x^2-y*x (0 <= x <=100)$的最小值
Sol
强上模拟退火,注意eps要开大!
/**/#include#include #include #include #include using namespace std;const int MAXN = 1e6 + 10;const double eps = 1e-10, Dlt = 0.98;int T;double Y, Best;double F(double x) { return 6 * x * x * x * x * x * x * x + 8 * x * x * x * x * x * x + 7 * x * x * x + 5 * x * x - Y * x;}double getrand(double T) { return T * ((rand() << 1) - RAND_MAX);}double solve(int id) { double x = id, now = F(x); Best = min(Best, now); for(double T = 101; T > eps; T *= Dlt) { double wx = x + getrand(T), wv = F(wx); if(wx > eps && (wx - 100 <= eps)) { if(wv < Best) x = wx, Best = wv, now = wv; if(wv < now || ((exp((wv - now) / T)) * RAND_MAX < rand())) now = wv, x = wx; } }}int main() {srand((unsigned)time(NULL)); scanf("%d", &T); while(T--) { Best = 1e20; scanf("%lf", &Y); int times = 100; while(times--) solve(times); printf("%.4lf\n", Best); } return 0;}/*31002001000000000*/