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 <bits/stdc++.h>
using namespace std;
struct process { string name; int time; };

int main()
{
	int n, q, ntime = 0;
	process tmp;
	queue<process> que;
	cin >> n >> q;
	for (int i = 0; i < n; i++) {
		cin >> tmp.name >> tmp.time;
		que.push(tmp);
	}
	while (!que.empty()) {
		tmp = que.front(); que.pop();
		if (tmp.time <= q) {
			ntime += tmp.time;
			cout << tmp.name << ' ' << ntime << endl;
		}
		else {
			ntime += q;
			tmp.time -= q;
			que.push(tmp);
		}
	}
	return 0;
}