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 <cstdlib>
# include <queue>

using namespace std;

typedef struct pp {
	string name;
	int time;
} P;

int main() {
	int n, q, time = 0;
	queue<P> que;

	cin >> n >> q;
	for (int i = 0; i < n; i++) {
		P p;
		cin >> p.name >> p.time;
		que.push(p);
	}

	while (que.size()) {
		P p = que.front(); que.pop();
		if (p.time <= q) {
			time += p.time;
			cout << p.name << " " << time << endl;
		} else {
			p.time -= q;
			time += q;
			que.push(p);
		}
	}

	return 0;
}