import java.math.BigDecimal; import java.math.MathContext; import java.util.Arrays; import java.util.Scanner; public class Main { int vl, vr; int d; int w; /** * 想定解で誤差が酷いものになってないかチェック */ BigDecimal checkai() { BigDecimal vl = new BigDecimal(this.vl, MathContext.DECIMAL128); BigDecimal vr = new BigDecimal(this.vr, MathContext.DECIMAL128); BigDecimal d = new BigDecimal(this.d, MathContext.DECIMAL128); BigDecimal w = new BigDecimal(this.w, MathContext.DECIMAL128); return w.multiply(d).divide(vl.add(vr), MathContext.DECIMAL128); } /** * 想定解 * 算数 */ double souteikai() { double vl = (double) this.vl; double vr = (double) this.vr; double d = (double) this.d; double w = (double) this.w; return w * d / (vl + vr); } /** * 誤解 * 数学 * 誤差 */ double mendoksai() { double vl = (double) this.vl; double vr = (double) this.vr; double d = (double) this.d; double w = (double) this.w; double t1 = d / (w + vr); double d1 = d - t1 * (vl + vr); double h1 = d1 / d; double t2 = d1 / (w + vl); double d2 = d1 - t2 * (vl + vr); double h2 = d2 / d1; return w * (t1 + t2) / (1 - h1 * h2); } /** * 誤解 * プログラムの力任せ * TLE、誤差 */ double gokai() { double vl = (double) this.vl; double vr = (double) this.vr; double d = (double) this.d; double w = (double) this.w; double ans = 0; while (d > 1e-7) { double t = d / (w + vr); ans += w * t; d -= t * (vl + vr); double tmp = vr; vr = vl; vl = tmp; } return ans; } void run() { vl = sc.nextInt(); vr = sc.nextInt(); d = sc.nextInt(); w = sc.nextInt(); assert (1 <= vl && vl <= 1_000_000_000L); assert (1 <= vr && vr <= 1_000_000_000L); assert (1 <= d && d <= 1_000_000_000L); assert (1 <= w && w <= 1_000_000_000L); assert (Math.max(vl, vr) < w); BigDecimal s = checkai(); assert (Math.abs(BigDecimal.valueOf(souteikai()).subtract(s).doubleValue()) < 1e-6); if (max(d, w) / max(vl, vr) < 100_000) { assert (Math.abs(BigDecimal.valueOf(mendoksai()).subtract(s).doubleValue()) < 1e-6); } if (max(vl, vr, d, w) <= 100_000) { assert (Math.abs(BigDecimal.valueOf(gokai()).subtract(s).doubleValue()) < 1e-6); } System.out.println(s.toPlainString()); } Scanner sc = new Scanner(System.in); public static void main(String[] args) { new Main().run(); } long max(long... a) { long r = Long.MIN_VALUE; for (long v : a) { r = Math.max(r, v); } return r; } }