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.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApplication6
{
    class Program
    {
        static int n;
        static Dictionary<Tuple<int,long>,long> N = new Dictionary<Tuple<int, long>, long>();
        static List<long[]> list;

        static void Main(string[] args)
        {
            n = int.Parse(Console.ReadLine());

            list = new List<long[]>();
            list.Add(new long[1] { 0 });
            int i = 0;
            while(i < n-1)
            {
                var temp = Console.ReadLine().Split(' ').Select(x=>long.Parse(x)).ToArray();
                list.Add(temp);
                i++;
            }

            for (i = 1; i <= n; i++)
            {
                Console.WriteLine(Calc(i,0));
            }

          
        }


        static long Calc(int i_, long spent)
        {
            Tuple<int, long> t = Tuple.Create(i_,spent);
            if (N.ContainsKey(t))
            {
                return N[t];
            }
            
            if(i_ == n)
            {
                N.Add(Tuple.Create(n,spent),spent);
                return spent;
            }

            if(spent < list[i_][1])
            {
                var time = Calc(i_+1, list[i_][0] + list[i_][1]);
                N.Add(Tuple.Create(i_, spent), time);
                return time;
            }

            var mod = spent % list[i_][2] == (long)0 ? 0 : list[i_][2] - spent % list[i_ ][2];
            var time2 = Calc(i_ + 1, spent + mod + list[i_][0]);
            N.Add(Tuple.Create(i_, spent), time2);
            return time2;

        }

    }
}