#include using namespace std; // clang-format off //#include //using namespace atcoder; using ll = long long; using ld = long double; using pii = pair; using pll = pair; using pdd = pair; using vii = vector; using vll = vector; using vdd = vector; using vvii = vector>; using vvll = vector>; using vvdd = vector>; using vvvii = vector>>; using vvvll = vector>>; using vvvdd = vector>>; template using P = pair; template using V1 = vector; template using V2 = vector>; template using V3 = vector>>; template using pque = priority_queue, greater>; #define _overload3(_1, _2, _3, name, ...) name #define rep1(n) for (ll i = 0; i < (n); i++) #define rep2(i, n) for (ll i = 0; i < (n); i++) #define rep3(i, a, b) for (ll i = (a); i < (b); i++) #define rep(...) _overload3(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for (ll i = (n) - 1; i >= 0; i--) #define rrep2(i, n) for (ll i = (n) - 1; i >= 0; i--) #define rrep3(i, a, b) for (ll i = (b) - 1; i >= (a); i--) #define rrep(...) _overload3(__VA_ARGS__, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define sz(x) ((int)(x).size()) #define fi first #define se second #define pb push_back #define endl '\n' #define popcnt(x) __builtin_popcountll(x) #define uniq(x) (x).erase(unique((x).begin(), (x).end()), (x).end()); #define IOS ios::sync_with_stdio(false); cin.tie(nullptr); const int inf = 1 << 30; const ll INF = 1ll << 60; const ld DINF = numeric_limits::infinity(); const ll mod = 1000000007; //const ll mod = 998244353; const ld EPS = 1e-9; const ld PI = 3.1415926535897932; const ll dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; const ll dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } template T minV(const vector &x) { return *min_element(all(x)); } template T maxV(const vector &x) { return *max_element(all(x)); } template ostream &operator<<(ostream &os, const pair &p) { return os << "(" << p.fi << ", " << p.se << ")"; } template ostream &operator<<(ostream &os, const vector &v) { os << "[ "; for (auto &z : v) os << z << " "; os << "]"; return os; } #ifdef _DEBUG #define show(x) cout << #x << " = " << x << endl; #else #define show(x) #endif ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } ll lcm(ll a, ll b) { return (a / gcd(a, b)) * b; } ll rem(ll a, ll b) { return (a % b + b) % b; } // clang-format on // using mint = modint998244353; // using mint = modint1000000007; ll modpow(ll a, ll N, ll mod) { ll res = 1; // 例えば3=101(2)なので、下位bitから順に1ならa倍する while (N) { if (N & 1) res = res * a % mod; a = a * a % mod; N >>= 1; } return res; } ld dp[52][52][52][52]; ll comb2(ll N) { return N * (N - 1) / 2; } int main() { // IOS; ll A, B, C, N; cin >> A >> B >> C >> N; dp[0][0][0][0] = 1; rep(i, N) { rep(a, A + 1) rep(b, B + 1) rep(c, C + 1) { if (a + b + c >= A + B + C - 1) continue; ld aa = (ld)comb2(A - a) / comb2(A - a + B - b + C - c); ld bb = (ld)comb2(B - b) / comb2(A - a + B - b + C - c); ld cc = (ld)comb2(C - c) / comb2(A - a + B - b + C - c); ld el = 1 - aa - bb - cc; show(a) show(b) show(c) show(aa) show(bb) show(cc) show(el); dp[i + 1][a + 1][b][c] += dp[i][a][b][c] * aa; dp[i + 1][a][b + 1][c] += dp[i][a][b][c] * bb; dp[i + 1][a][b][c + 1] += dp[i][a][b][c] * cc; dp[i + 1][a][b][c] += dp[i][a][b][c] * el; } } ld ansA = 0, ansB = 0, ansC = 0; rep(a, A + 1) rep(b, B + 1) rep(c, C + 1) { ansA += a * dp[N][a][b][c]; ansB += b * dp[N][a][b][c]; ansC += c * dp[N][a][b][c]; } printf("%.10Lf %.10Lf %.10Lf\n", ansA, ansB, ansC); return 0; } /* メモ */