package q2xx; 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 Q281 { static InputStream is; static PrintWriter out; static String INPUT = ""; static void solve() { int rem = 80-ni(); double[] dead = new double[]{ (double)ni()/100, (double)ni()/100, (double)ni()/100 }; int[] two = new int[1<<14]; int[] zero = new int[1<<14]; for(int i = 0;i < 1<<14;i++){ two[i] = i&i>>>1&i<<1; zero[i] = i&~(i>>>1)&~(i<<1); } double[][] pows = new double[6][30]; for(int j = 0;j < 3;j++){ pows[j][0] = pows[j+3][0] = 1; for(int i = 1;i < 30;i++){ pows[j][i] = pows[j][i-1] * dead[j]; pows[j+3][i] = pows[j+3][i-1] * (1-dead[j]); } } double[] p = new double[1<<14]; p[(1<<14)-1] = 1; for(int i = 0;i < rem;i++){ double[] np = new double[1<<14]; for(int j = 0;j < 1<<14;j++){ int ntwo = Integer.bitCount(two[j]); int nzero = Integer.bitCount(zero[j]); int none = Integer.bitCount(j)-ntwo-nzero; for(int k = j;k >= 0;k--){ k &= j; // j->k int netwo = Integer.bitCount((j^k)&two[j]); int nezero = Integer.bitCount((j^k)&zero[j]); int neone = Integer.bitCount(j^k)-netwo-nezero; double trans = pows[2][netwo] * pows[5][ntwo-netwo] * pows[1][neone] * pows[4][none-neone] * pows[0][nezero] * pows[3][nzero-nezero]; // double trans = // Math.pow(dead[2], netwo) * Math.pow(1-dead[2], ntwo-netwo) * // Math.pow(dead[1], neone) * Math.pow(1-dead[1], none-neone) * // Math.pow(dead[0], nezero) * Math.pow(1-dead[0], nzero-nezero); np[k] += p[j] * trans; ; } // include i=0 } p = np; } double E = 0; for(int i = 0;i < 1<<14;i++){ E += Integer.bitCount(i) * p[i]; } out.printf("%.12f\n", E*2); } public static void main(String[] args) throws Exception { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); } private static boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private static byte[] inbuf = new byte[1024]; static int lenbuf = 0, ptrbuf = 0; private static 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 static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private static int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private static double nd() { return Double.parseDouble(ns()); } private static char nc() { return (char)skip(); } private static 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 static 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 static 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 static int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private static 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 static 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) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }