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>
#include<string>
using namespace std;
int main() {
	queue<pair<string, int> > Q;
	int n, p,time;
	string name;
	cin >> n >> p;
	for (int i = 0; i < n; i++) {
		cin >> name >> time;
		Q.push(make_pair(name, time));
	}
	pair<string, int> t;
	int elaps = 0, a;
	while (!Q.empty()) {
		t = Q.front();
		Q.pop();
		a = min(t.second, p);
		elaps += a;
		t.second -= p;
		if (t.second > 0) {
			Q.push(t);
		}
		else {
			cout << t.first << ' ' << elaps << endl;
		}
	}
	return 0;
}