package q8xx; 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 Q846_3 { InputStream is; PrintWriter out; String INPUT = ""; // String INPUT = "11 11 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "9 9 9 9 9 9 9 9 9 9 9 " // + "" // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + "3 3 3 3 3 3 3 3 3 3 3 " // + ""; void solve() { int n = ni(), m = ni(); int[][] P = new int[n][]; for(int i = 0;i < n;i++)P[i] = na(m); int[][] S = new int[n][]; for(int i = 0;i < n;i++)S[i] = na(m); int[] trans = new int[1<<2*m]; for(int i = 0;i < 1<<2*m;i++){ int x = i; // 10 -> 00 for(int j = 0;j < m-1;j++){ if((x>>>2*j&15) == 4){ x ^= 4<<2*j; } } // 01 -> 00 for(int j = m-2;j >= 0;j--){ if((x>>>2*j&15) == 1){ x ^= 1<<2*j; } } // 020 -> 000 for(int j = 0;j < m-2;j++){ if((x>>>2*j&63) == 8){ x ^= 8<<2*j; } } for(int j = 0;j < m;j++){ if((x>>>2*j&3) == 0){ trans[i] |= 1<= 0;k--,l--){ k &= mask; int ind = ss - (k&~ng); if(last[l] != 0){ // tr(ss, k, ng, k&~ng, ind, trans[ind]); nlast[trans[ind]] += pr * last[l]; E += pr*Integer.bitCount(trans[ind])*last[l]; } } } last = nlast; } out.printf("%.14f\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"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new Q846_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 int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } 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[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } 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)); } }