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;

typedef pair<string ,int> proc;

int main(){
	int n,q,sumTime=0;
	queue< proc > que;
	cin >> n>>q;
	
	
	for(int i=0;i<n;i++){
		proc p;
		cin >> p.first;
		cin >> p.second;
		que.push(p);
	}
	
	
	while(!que.empty()){
		proc p=que.front();
		que.pop();
		if(p.second <= q){
			sumTime += p.second;
			cout << p.first << " " << sumTime << endl;
		}else{
			sumTime += q;
			p.second -= q;
			que.push(p);
		}
	}
	return 0;
	
}