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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>
#include<algorithm>
#include<cassert>
#include<vector>
#include<fstream>
#include<string>
#include<stdio.h>
#include<stdlib.h>
#include<time.h>
#include<queue>
#include<map>

using namespace std;
#define REP(i,m,n) for(int i=m;i<n;++i)
#define INF 10000000000000000
#define MOD 1000000007
#define ll long long
#define mp make_pair
#define all(v) v.begin(),v.end()

vector<int>c, s, f;

int main() {
	int n;
	cin >> n;
	REP(i, 0, n - 1) {
		int a, b, d;
		cin >> a >> b >> d;
		c.push_back(a);
		s.push_back(b);
		f.push_back(d);
	}
	REP(i, 0, n) {
		int now = 0;
		REP(j, i, n - 1) {
			if (now <= s[j]) {
				now = s[j] + c[j];
			}
			else {
				now = ((now - s[j] + f[j] - 1) / f[j])*f[j] + s[j] + c[j];
			}
		}
		printf("%d\n", now);
	}
	return 0;
}