Problem: Notes

Template in C

Constraints

* 1 ≤ n ≤ 100000
* 1 ≤ q ≤ 1000
* 1 ≤ timei ≤ 50000
* 1 ≤ length of namei ≤ 10
* 1 ≤ Sum of timei ≤ 1000000

Input

n q
name1 time1
name2 time2
...
namen timen


In the first line the number of processes n and the quantum q are given separated by a single space.

In the following n lines, names and times for the n processes are given. namei and timei are separated by a single space.

Output

For each process, prints its name and the time the process finished in order.

Example

Input

5 100
p1 150
p2 80
p3 200
p4 350
p5 20


Output

p2 180
p5 400
p1 450
p3 550
p4 800

Solution (in CPP):

Solution:
#include <iostream>
#include <queue>
#include <utility>
using namespace std;

typedef pair<string, int> ps;

int main()
{
	cin.tie(0);
	ios::sync_with_stdio(false);

	queue<ps> Q;
	int n, q, st = 0;
	cin >> n >> q;

	ps p;
	while (n--) {
		cin >> p.first >> p.second;
		Q.push(p);
	}

	while (!Q.empty()) {
		p = Q.front();
		Q.pop();
		if (p.second <= q) {
			st += p.second;
			cout << p.first << " " << st << endl;
		} else {
			st += q;
			p.second -= q;
			Q.push(p);
		}
	}
}