package q3xx; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class Q326_3 { InputStream is; PrintWriter out; String INPUT = ""; double[][] makeT(int n, double p) { double[][] t = new double[n][n]; // p+(1-p)/(n-1)*(i-1) (1-p)/(n-1)*(n-2-i) for(int j = 0;j < n;j++){ double[] dp = new double[j+1]; // 前に何人いるか dp[j] = 1.; for(int i = 0;i < n-1;i++){ t[i][j] = dp[0]*p; for(int k = 1;k <= j;k++){ t[i][j] += dp[k]*(1-p)/(n-1-i); } dp[0] *= 1.-p; for(int k = 1;k <= j;k++){ // 前にk人いるとき、前の人が選ばれる確率はp+(1-p)/(n-1-i)*(k-1) dp[k-1] += dp[k] * (p+(1-p)/(n-1-i)*(k-1)); dp[k] = dp[k] * ((1-p)/(n-1-i)*(n-1-i-(k-1)-1)); } } } for(int j = 0;j < n;j++){ double q = 1; for(int i = 0;i < n-1;i++)q -= t[i][j]; t[n-1][j] = q; } return t; } void solve() { int n = ni(); double pa = nd(), pb = nd(); int[] a = na(n); int[] b = na(n); Arrays.sort(a); Arrays.sort(b); double[][] ta = makeT(n, pa); double[][] tb = makeT(n, pb); // for(double[] row : ta){ // tr(row); // } // 0.7 0.1 0.1 0.1 // 0.21 0.52 0.135 0.135 // 0.063 double E = 0; for(int i = 0;i < n;i++){ double qb = 0; double scb = 0; int p = 0; for(int j = 0;j < n;j++){ while(p < n && a[j] > b[p]){ qb += tb[i][p]; scb += tb[i][p] * b[p]; p++; } E += ta[i][j] * (a[j] * qb + scb); } } out.printf("%.12f\n", E); } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); } public static void main(String[] args) throws Exception { new Q326_3().run(); } private byte[] inbuf = new byte[1024]; private int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }