#include<iostream>

#include<cstdio>

#include<cmath>

#include<cstdlib>

#include<cstring>

#include<algorithm>

using namespace std;

int read()

{

    int x=,f=;char c=getchar();

    while (c<''||c>'') {if (c=='-') f=-;c=getchar();}

    while (c>=''&&c<='') x=(x<<)+(x<<)+(c^),c=getchar();

    return x*f;

}

#define N 410

int n,m,s,t,d[][],degree[];

double a[N][N],p[];

int trans(int x,int y){return (x-)*n+y;}

void gauss()

{

    for (int i=;i<n*n;i++)

    {

        int mx=i;

        for (int j=i+;j<=n*n;j++)

        if (fabs(a[j][i])>fabs(a[mx][i])) mx=j;

        if (mx!=i) swap(a[i],a[mx]);

        for (int j=i+;j<=n*n;j++)

        {

            double t=a[j][i]/a[i][i];

            for (int k=i;k<=n*n+;k++)

            a[j][k]-=t*a[i][k];

        }

    }

}

int main()

{

#ifndef ONLINE_JUDGE

    freopen("bzoj3270.in","r",stdin);

    freopen("bzoj3270.out","w",stdout);

    const char LL[]="%I64d\n";

#else

    const char LL[]="%lld\n";

#endif

    n=read(),m=read(),s=read(),t=read();

    for (int i=;i<=m;i++)

    {

        int x=read(),y=read();

        degree[x]++,degree[y]++;

        d[x][y]=d[y][x]=;

    }

    for (int i=;i<=n;i++) d[i][i]=;

    for (int i=;i<=n;i++) cin>>p[i];

    for (int i=;i<=n;i++)

        for (int j=;j<=n;j++)

            for (int x=;x<=n;x++)

                for (int y=;y<=n;y++)

                if (x!=y&&d[x][i]&&d[y][j])

                {

                    if (x==i) a[trans(i,j)][trans(x,y)]=p[x];

                    else if (d[x][i]) a[trans(i,j)][trans(x,y)]=(-p[x])/degree[x];

                    if (y==j) a[trans(i,j)][trans(x,y)]*=p[y];

                    else if (d[y][j]) a[trans(i,j)][trans(x,y)]*=(-p[y])/degree[y];

                }

    for (int i=;i<=n;i++)

        for (int j=;j<=n;j++)

        a[trans(i,j)][trans(i,j)]--;

    a[trans(s,t)][n*n+]=-;

    gauss();

    for (int i=n*n;i>=;i--)

    {

        a[i][n*n+]/=a[i][i];

        for (int j=i-;j;j--)

        a[j][n*n+]-=a[i][n*n+]*a[j][i];

    }

    for (int i=;i<=n;i++) printf("%.6lf ",a[trans(i,i)][n*n+]);

    return ;

}