Problem:
Score : 300 points

Problem Statement

A railroad running from west to east in Atcoder Kingdom is now complete.

There are N stations on the railroad, numbered 1 through N from west to east.

Tomorrow, the opening ceremony of the railroad will take place.

On this railroad, for each integer i such that 1≤i≤N-1, there will be trains that run from Station i to Station i+1 in C_i seconds. No other trains will be operated.

The first train from Station i to Station i+1 will depart Station i S_i seconds after the ceremony begins. Thereafter, there will be a train that departs Station i every F_i seconds.

Here, it is guaranteed that F_i divides S_i.

That is, for each Time t satisfying S_i≤t and t％F_i=0, there will be a train that departs Station i t seconds after the ceremony begins and arrives at Station i+1 t+C_i seconds after the ceremony begins, where A％B denotes A modulo B, and there will be no other trains.

For each i, find the earliest possible time we can reach Station N if we are at Station i when the ceremony begins, ignoring the time needed to change trains.

Constraints

1≤N≤500

1≤C_i≤100

1≤S_i≤10^5

1≤F_i≤10

S_i％F_i=0

All input values are integers.

Input

Input is given from Standard Input in the following format:

N
C_1 S_1 F_1
:
C_{N-1} S_{N-1} F_{N-1}

Output

Print N lines. Assuming that we are at Station i (1≤i≤N) when the ceremony begins, if the earliest possible time we can reach Station N is x seconds after the ceremony begins, the i-th line should contain x.

Sample Input 1

3
6 5 1
1 10 1

Sample Output 1

12
11
0

We will travel from Station 1 as follows:

5 seconds after the beginning: take the train to Station 2.

11 seconds: arrive at Station 2.

11 seconds: take the train to Station 3.

12 seconds: arrive at Station 3.

We will travel from Station 2 as follows:

10 seconds: take the train to Station 3.

11 seconds: arrive at Station 3.

Note that we should print 0 for Station 3.

Sample Input 2

4
12 24 6
52 16 4
99 2 2

Sample Output 2

187
167
101
0

Sample Input 3

4
12 13 1
44 17 17
66 4096 64

Sample Output 3

4162
4162
4162
0

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using static System.Console;

class Program
{
    internal static void Main(string[] args)
    {
        var N = int.Parse(ReadLine());
        var C = new List<int>();
        var S = new List<int>();
        var F = new List<int>();
        for (int i = 0; i < N - 1; i++) {
            var inp = ReadLine().Split(' ').Select(s => int.Parse(s)).ToList();
            C.Add(inp[0]);
            S.Add(inp[1]);
            F.Add(inp[2]);
        }

        var ans = new List<int>();
        for (int i = 0; i < N; i++) {
            if (i == N - 1) {
                ans.Add(0);
            } else {
                ans.Add(C[i] + S[i]);
            }
        }

        for (int i = 0; i < N - 2; i++) {
            for (int j = 1; j < N - (i + 1); j++) {
                if (ans[i] > S[i + j]) {
                    int hoge = S[i + j];
                    while (ans[i] > hoge) {
                        hoge += F[i + j];
                    }
                    ans[i] = hoge + C[i + j];
                } else if (ans[i] < S[i + j]) {
                    ans[i] = S[i + j] + C[i + j];
                } else {
                    ans[i] += C[i + j];
                }
            }
        }

        foreach (int i in ans) {
            WriteLine(i);
        }
    }
}