#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } double dp[55][55][55][55][3]; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int a, b, c, n; cin >> a >> b >> c >> n; rep(i, a + 1)rep(j, b + 1)rep(k, c + 1)rep(l, n + 1) { if (0 == l)continue; int sum = i + j + k; if (2 > sum)continue; int zan = sum * (sum - 1) / 2; if (i >= 2) { zan -= i * (i - 1) / 2; double p = (double)(i * (i - 1)) / (double)(sum * (sum - 1)); rep(m, 3) { dp[i][j][k][l][m] += dp[i - 1][j][k][l - 1][m] * p; } dp[i][j][k][l][0] += p; } if (j >= 2) { zan -= j * (j - 1) / 2; double p = (double)(j * (j - 1)) / (double)(sum * (sum - 1)); rep(m, 3) { dp[i][j][k][l][m] += dp[i][j - 1][k][l - 1][m] * p; } dp[i][j][k][l][1] += p; } if (k >= 2) { zan -= k * (k - 1) / 2; double p = (double)(k * (k - 1)) / (double)(sum * (sum - 1)); rep(m, 3) { dp[i][j][k][l][m] += dp[i][j][k - 1][l - 1][m] * p; } dp[i][j][k][l][2] += p; } { double p = (double)(zan) / (double)(sum * (sum - 1) / 2); rep(m, 3) { dp[i][j][k][l][m] += dp[i][j][k][l - 1][m] * p; } } } printf("%.16f\n", dp[a][b][c][n][0]); printf("%.16f\n", dp[a][b][c][n][1]); printf("%.16f\n", dp[a][b][c][n][2]); return 0; }