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 <string>
#include <queue>
using namespace std;
struct pro{
	string name;
	int time;
};

int main(){
	queue<pro> que;
	pro p;
	int n,q,count = 0;
	cin >> n >> q;
	for(int i = 0;i < n;i++){
		cin >> p.name >> p.time;
		que.push(p);
	}
	while(1){
		p =	que.front();
		que.pop();
		if(p.time <= q){
			count += p.time;
			cout << p.name << " " << count <<endl;
		}
		else{
			p.time -= q;
			count += q;
			que.push(p);
		}
		if(que.empty())break;
	}
	return 0;
}