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: Wrong Answer)

using System;
using System.Collections.Generic;
class Program
{
	static void Main(string[] args)
	{
		string str = Console.ReadLine();
		long N = long.Parse(str);
		long[] C = new long[N-1];
		long[] S = new long[N-1];
		long[] F = new long[N-1];
		long[] A = new long[N];
		long[] B = new long[N];
		for(var i=0;i<N-1;i++){
			string[] str2 = Console.ReadLine().Split();
			C[i] = long.Parse(str2[0]);
			S[i] = long.Parse(str2[1]);
			F[i] = long.Parse(str2[2]);
		}
		A[N-1] = 0;
		B[N-1] = 0;
		if(N>=2){
			A[N-2] = S[N-2]+C[N-2];
			B[N-2] = C[N-2];
		}
		for(var i=N-3;i>=0;i--){
			if(S[i]+C[i] < A[i+1]){
				A[i] = Math.Max(A[i+1],S[i]+C[i]+B[i+1]);
			} else {
				A[i] = S[i]+C[i]+(S[i]+C[i]-C[i+1])%F[i]+B[i+1];
			}
			B[i] = C[i]+B[i+1];
		}
		for(var i=0;i<N;i++){
			Console.WriteLine(A[i]);
		}
	}
}