#include #include using namespace std; using namespace atcoder; typedef long long int ll; typedef long double ld; #define FOR(i,l,r) for(ll i=l;i=l;i--) #define RREP(i,n) RFOR(i,0,n) #define ALL(x) x.begin(),x.end() #define P pair #define F first #define S second #define BS(A,x) binary_search(ALL(A),x) #define LB(A,x) (ll)(lower_bound(ALL(A),x)-A.begin()) #define UB(A,x) (ll)(upper_bound(ALL(A),x)-A.begin()) #define COU(A,x) UB(A,x)-LB(A,x) templateusing min_priority_queue=priority_queue,greater>; using mint=modint1000000007; signed main(){ ll A,B,C,N;cin>>A>>B>>C>>N;ld DP[A+1][B+1][C+1][N+1]; REP(i,A+1)REP(j,B+1)REP(k,C+1)REP(n,N+1)DP[i][j][k][n]=0;DP[A][B][C][0]=1; REP(n,N){ REP(i,A+1)REP(j,B+1)REP(k,C+1)if(i+j+k>1){ DP[i-1][j][k][n+1]+=DP[i][j][k][n]*i*(i-1)/(i+j+k)/(i+j+k-1); DP[i][j-1][k][n+1]+=DP[i][j][k][n]*j*(j-1)/(i+j+k)/(i+j+k-1); DP[i][j][k-1][n+1]+=DP[i][j][k][n]*k*(k-1)/(i+j+k)/(i+j+k-1); DP[i][j][k][n+1]+=DP[i][j][k][n]*(1-(ld)(i*(i-1)+j*(j-1)+k*(k-1))/(i+j+k)/(i+j+k-1)); } } ld a=0,b=0,c=0; REP(i,A+1)REP(j,B+1)REP(k,C+1){a+=DP[i][j][k][N]*i;b+=DP[i][j][k][N]*j;c+=DP[i][j][k][N]*k;} a=A-a;b=B-b;c=C-c;printf("%llf %llf %llf\n",a,b,c); return 0; }