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<string>
using namespace std;

int main(){
	int n,t,p;
	string name;
	queue<pair<string,int> >q;
	cin>>n>>p;
	for(int i=0;i<n;i++){
		cin>>name>>t;
		q.push(make_pair(name,t));
	}
	
	pair<string,int> temp;
	int els=0,a;
	
	while(!q.empty()){
		temp = q.front();
		q.pop();
		a = min(temp.second,p);
		temp.second-=a;
		els+=a;
		if(temp.second>0){
			q.push(temp);
		}else{
			cout<<temp.first<<" "<<els<<endl;
		}
		
	}
	return 0;
}