/* -*- coding: utf-8 -*- * * 1381.cc: No.1381 Simple Geometry 1 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int CNT = 1000; /* typedef */ /* global variables */ /* subroutines */ /* main */ int main() { double s, ap, cq, w; scanf("%lf%lf%lf%lf", &s, &ap, &cq, &w); // let x = |ad|, y = |cd|, // -> s = x*y, |bp|^2=|ap|^2+y^2, |bq|^2=x^2+|cq|^2 // x >= |ap|, y >= |cq| -> s=x*y>=x*|cq| -> x<=s/|cq| double ap2 = ap * ap, cq2 = cq * cq; double x0 = ap, x1 = s / cq; for (int cnt = 0; cnt < CNT; cnt++) { double x = (x0 + x1) / 2; double y = s / x; double bp = sqrt(ap2 + y * y); double bq = sqrt(x * x + cq2); if (bp >= bq + w) x0 = x; else x1 = x; } //printf("x=%lf, y=%lf\n", x0, s / x0); double y0 = s / x0; double t = s - (ap * y0 / 2 + x0 * cq / 2 + (x0 - ap) * (y0 - cq) / 2); printf("%.10lf\n", t); return 0; }