#include <bits/stdc++.h>

using namespace std;

ifstream f("ecu.in");
ofstream g("ecu.out");

const int NMAX = 35;
int n,m;
double x[NMAX], p[NMAX], y[NMAX], d[NMAX];
double mat[NMAX][NMAX], c[NMAX][NMAX], ans[NMAX][NMAX];

void afisaremat(double mat[NMAX][NMAX]){
    int i,j;
    for(i = 1 ; i <= n + 1 ; i++){
        for(j = 1 ; j <= n + 1 ; j++)
            g << mat[i][j] << " ";
        g << "\n";
    }
}

void inm(double a[NMAX][NMAX], double b[NMAX][NMAX]){
    int i,j,k;

    for(i = 1 ; i <= n + 1 ; i++){
        for(j = 1 ; j <= n + 1 ; j++){
            c[i][j] = 0;
            for(k = 1 ; k <= n + 1 ; k++)
                c[i][j] += a[i][k] * b[k][j];
        }
    }

    for(i = 1 ; i <= n + 1 ; i++)
        for(j = 1 ; j <= n + 1 ; j++)
            a[i][j] = c[i][j];
}

void power(int p){
    int i,j;

    for(i = 1 ; i <= n + 1 ; i++)
        for(j = 1 ; j <= n + 1 ; j++)
            ans[i][j] = mat[i][j];

    while(p){
        if(p & 1){
            p--;
            inm(ans,mat);
        }
        inm(ans, ans);
        p /= 2;
    }

    for(i = 1 ; i <= n + 1; i++)
        for(j = 1 ; j <= n + 1 ; j++)
            mat[i][j] = ans[i][j];
}

void alh(){
    int i,j;

    for(i = 1 ; i <= n ; i++){
        d[i] = 0;

        for(j = 1 ; j <= n + 1 ; j++)
            d[i] += (x[j] * mat[j][i]);
    }

}

int main(){
    int i,j;
    f >> n >> m;
    for(i = 1 ; i <= n ; i++)
        f >> x[i];
    for(i = 1 ; i <= n ; i++)
        f >> p[i];
    for(i = 1 ; i <= n ; i++)
        f >> y[i];

    for(i = 1 ; i < n ; i++){
        mat[i][i] = p[i];
        mat[i + 1][i] = 1 - p[i + 1];
        mat[n + 1][i] = y[i];
        //mat[i][n + 1] = 1;
    }

    //mat[n][n + 1] = 1;
    mat[n + 1][n + 1] = 1;
    mat[1][n] = 1 - p[1];
    mat[n][n] = p[n];
    mat[n + 1][n] = y[n];
    x[n + 1] = 1;

    power(2);

    //afisaremat(mat);

    alh();

    for(i = 1 ; i <= n ; i++)
        g << d[i] << " ";

    return 0;
}