UVa 11524

推公式

#include <cstdio>
#include <cmath>

double Cal( double a, double b, double c )
{
    return a + b - c;
}

int main()
{
    int T;
    scanf( "%d", &T );
    while ( T-- )
    {
        double m[3], n[3], r;
        scanf( "%lf", &r );
        for ( int i = 0; i < 3; ++i )
            scanf( "%lf%lf", &m[i], &n[i] );

        double k[3];
        k[0] = 1.0;
        k[1] = n[1] * ( m[2] + n[2] ) / ( m[2] * ( m[1] + n[1] ) );
        k[2] = m[1] * ( m[0] + n[0] ) / ( n[0] * ( m[1] + n[1] ) );

        double a = sqrt( 4.0*(k[0]+k[1]+k[2])*r*r / ( Cal(k[1], k[2], k[0])*Cal(k[0], k[2], k[1])*Cal(k[0], k[1], k[2]) ) );
        double b = k[1] * a;
        double c = k[2] * a;
        double ans = ( a + b + c ) * r / 2.0;
        printf( "%.4f
", ans );
    }
    return 0;
}