#include<cstdio>

 #include<iostream>

 #include<cstring>

 #include<algorithm>

 #define d float

 using namespace std;

 int a[],b[];

 d f[][];

 int i,j,k,n,m;

 int ra;char rx;

 inline int read(){

     rx=getchar(),ra=;

     while(rx<''||rx>'')rx=getchar();

     while(rx>=''&&rx<='')ra*=,ra+=rx-,rx=getchar();return ra;

 }

 int main(){

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

     for(i=;i<=m;i++)a[i]=read();register int k;

     f[][]=1.0;

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

         for(j=;j<=m;j++)b[j]=(a[j]-)%i+;

         for(j=;j<=i;j++){

             d tmp=0.0;int zj;

             for(k=;k<=m;k++)if(b[k]!=j)

                 zj=b[k]==i?:b[k]+,

                 tmp+=f[i-][j>=zj?j-zj+:i-(zj-j)+];

             f[i][j]=tmp/m;

         }

     }

     for(i=;i<n;i++)printf("%.2f",f[n][i]*),putchar('%'),putchar(' ');printf("%.2f",f[n][n]*);puts("%");

 }