#include #include using namespace std; using namespace atcoder; using lint = long long; using ulint = unsigned long long; #define endl '\n' int const INF = 1<<30; lint const INF64 = 1LL<<61; lint const mod = 1e9+7; //long const mod = 998244353; lint ceilDiv(lint x, lint y){if(x >= 0){return (x+y-1)/y;}else{return x/y;}} lint floorDiv(lint x, lint y){if(x >= 0){return x/y;}else{return (x-y+1)/y;}} lint Sqrt(lint x){lint upper = 1e9;lint lower = 0;while(upper - lower > 0){lint mid = (1+upper + lower)/2;if(mid * mid > x){upper = mid-1;}else{lower = mid;}}return upper;} lint gcd(lint a,lint b){if(a&v){lint ans = INF64;for(lint i:v){ans = min(ans, i);}return ans;} lint chmax(vector&v){lint ans = -INF64;for(lint i:v){ans = max(ans, i);}return ans;} double dist(double x1, double y1, double x2, double y2){return sqrt(pow(x1-x2, 2) + pow(y1-y2,2));} string toString(lint n){string ans = "";if(n == 0){ans += "0";}else{while(n > 0){int a = n%10;char b = '0' + a;string c = "";c += b;n /= 10;ans = c + ans;}}return ans;} string toString(lint n, lint k){string ans = toString(n);string tmp = "";while(ans.length() + tmp.length() < k){tmp += "0";}return tmp + ans;} vectorprime;void makePrime(lint n){prime.push_back(2);for(lint i=3;i<=n;i+=2){bool chk = true;for(lint j=0;j>; double dp[51][51][51][51]; double f(int a,int b,int c, int n) { if(dp[a][b][c][n] >= 0)return dp[a][b][c][n]; if(n==0)return 0; if(a <= 1)return dp[a][b][c][n] = 0; double aa = (double)(a * (a-1)) / (double)((a+b+c) * (a+b+c-1)); double bb = (double)(b * (b-1)) / (double)((a+b+c) * (a+b+c-1)); double cc= (double)(c * (c-1)) / (double)((a+b+c) * (a+b+c-1)); double ans = aa * (1 + f(a-1,b,c,n-1)); if(b >= 2)ans += bb * f(a,b-1,c,n-1) ; if(c>=2)ans += cc * f(a,b,c-1,n-1) ; ans += (1.0-aa-bb-cc) * f(a,b,c,n-1); cerr << a << " " << b << " " << c << " " << ans << endl; return dp[a][b][c][n] = ans; } int main(){ int a,b,c,n; cin >> a >> b >> c >> n; for(int i = 0;i<=50;i++){ for(int j=0;j<=50;j++){ for(int k=0;k<=50;k++){ for(int l=0;l<=50;l++)dp[i][j][k][l] = -1; } } } printf("%.10lf %.10lf %.10lf\n", f(a,b,c,n), f(b,a,c,n), f(c,a,b,n)); }