import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.BufferedReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author lewin
 */
public class leaderboard_lewin {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader2 in = new InputReader2(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        LeaderboardEffect solver = new LeaderboardEffect();
        solver.solve(1, in, out);
        out.close();
    }

    static class LeaderboardEffect {
        public void solve(int testNumber, InputReader2 in, OutputWriter out) {
            int n = in.nextInt(), t = in.nextInt();
            int[] r = new int[n], c = new int[n];
            double[] p = new double[n];
            for (int i = 0; i < n; i++) {
                r[i] = in.nextInt();
                c[i] = in.nextInt();
                p[i] = in.nextDouble();
            }

            double[] probSolve = new double[n];
            double[][] toAdd = new double[t + 1][n];
            // probSolve[i] = fraction of teams that have currently solved problem i
            // toAdd[i][j] = fraction of teams that will solve problem j at time i
            double[][] numTeams = new double[t + 1][1 << n];
            // numTeams[i][j] = fraction of teams who will need to read a problem at time i with mask j already read
            numTeams[0][0] = 1;
            for (int time = 0; time <= t; time++) {
                // process all teams solving problems
                for (int problem = 0; problem < n; problem++) {
                    probSolve[problem] += toAdd[time][problem];
                }
                // process teams deciding which problem to solve
                for (int mask = 0; mask < (1 << n); mask++) {
                    if (numTeams[time][mask] == 0) continue;
                    double totalSolve = 0;
                    int numUnread = 0;
                    for (int i = 0; i < n; i++) {
                        if (((mask >> i) & 1) == 1) continue;
                        totalSolve += probSolve[i];
                        numUnread++;
                    }
                    for (int i = 0; i < n; i++) {
                        if (((mask >> i) & 1) == 1) continue;
                        double probChosen = totalSolve == 0 ? (1.0 / numUnread) : (probSolve[i] / totalSolve);
                        int ntime;
                        { // this team can solve this problem
                            ntime = r[i] + c[i] + time;
                            if (p[i] > 0 && ntime <= t) {
                                toAdd[ntime][i] += numTeams[time][mask] * probChosen * p[i];
                                numTeams[ntime][mask | (1 << i)] += numTeams[time][mask] * probChosen * p[i];
                            }
                        }
                        { // this team can't solve this problem
                            ntime = r[i] + time;
                            if (p[i] < 1 && ntime <= t) {
                                numTeams[ntime][mask | (1 << i)] += numTeams[time][mask] * probChosen * (1 - p[i]);
                            }
                        }
                    }
                }
            }

            for (int i = 0; i < n; i++) {
                out.printf("%.10f\n", probSolve[i]);
            }
        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void printf(String format, Object... objects) {
            writer.printf(format, objects);
        }

        public void close() {
            writer.close();
        }

    }

    static class InputReader2 {
        private BufferedReader in;
        private StringTokenizer st;

        public InputReader2(InputStream stream) {
            in = new BufferedReader(new InputStreamReader(stream));
            st = null;
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }

        public String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(in.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

    }
}